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Can any body give the solution of this activity :- find out the solution of quadratic equation x2-8x-20=0 by cutting and pasting method?
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Can any body give the solution of this activity :- find out the soluti...
X2-10x+2x-20=0 then x(x-10)+2(x-10) =0 uske bad (x-10)(x+2)=0 then value of x equal to the 10 or -2
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Can any body give the solution of this activity :- find out the soluti...
Quadratic Equation: x^2 - 8x - 20 = 0
To solve the quadratic equation x^2 - 8x - 20 = 0 using the cutting and pasting method, you need to follow these steps:
Step 1: Splitting the Middle Term
- The middle term of the equation is -8x.
- We need to find two numbers whose product is equal to the product of the coefficient of x^2 (which is 1) and the constant term (which is -20).
- The product of 1 and -20 is -20.
- We need to find two numbers whose sum is equal to -8 (the coefficient of x).
- After considering various possibilities, let's choose -10 and 2.
- So, we can split -8x as -10x + 2x.
Step 2: Rearranging the Terms
- Rearrange the equation by splitting the middle term:
x^2 - 10x + 2x - 20 = 0
Step 3: Grouping the Terms
- Group the terms in pairs:
(x^2 - 10x) + (2x - 20) = 0
Step 4: Taking Out Common Factors
- Take out the common factors from each group:
x(x - 10) + 2(x - 10) = 0
Step 5: Combining Like Terms
- Combine the like terms:
(x + 2)(x - 10) = 0
Step 6: Setting each Factor to Zero
- Set each factor to zero and solve for x:
x + 2 = 0 or x - 10 = 0
Step 7: Solving for x
- Solve the equations:
x = -2 or x = 10
Step 8: Final Solution
- The solutions to the quadratic equation x^2 - 8x - 20 = 0 are x = -2 and x = 10.
To solve the quadratic equation x^2 - 8x - 20 = 0 using the cutting and pasting method, you need to follow these steps:
Step 1: Splitting the Middle Term
- The middle term of the equation is -8x.
- We need to find two numbers whose product is equal to the product of the coefficient of x^2 (which is 1) and the constant term (which is -20).
- The product of 1 and -20 is -20.
- We need to find two numbers whose sum is equal to -8 (the coefficient of x).
- After considering various possibilities, let's choose -10 and 2.
- So, we can split -8x as -10x + 2x.
Step 2: Rearranging the Terms
- Rearrange the equation by splitting the middle term:
x^2 - 10x + 2x - 20 = 0
Step 3: Grouping the Terms
- Group the terms in pairs:
(x^2 - 10x) + (2x - 20) = 0
Step 4: Taking Out Common Factors
- Take out the common factors from each group:
x(x - 10) + 2(x - 10) = 0
Step 5: Combining Like Terms
- Combine the like terms:
(x + 2)(x - 10) = 0
Step 6: Setting each Factor to Zero
- Set each factor to zero and solve for x:
x + 2 = 0 or x - 10 = 0
Step 7: Solving for x
- Solve the equations:
x = -2 or x = 10
Step 8: Final Solution
- The solutions to the quadratic equation x^2 - 8x - 20 = 0 are x = -2 and x = 10.
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Can any body give the solution of this activity :- find out the solution of quadratic equation x2-8x-20=0 by cutting and pasting method?
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Can any body give the solution of this activity :- find out the solution of quadratic equation x2-8x-20=0 by cutting and pasting method? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Can any body give the solution of this activity :- find out the solution of quadratic equation x2-8x-20=0 by cutting and pasting method? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can any body give the solution of this activity :- find out the solution of quadratic equation x2-8x-20=0 by cutting and pasting method?.
Can any body give the solution of this activity :- find out the solution of quadratic equation x2-8x-20=0 by cutting and pasting method? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Can any body give the solution of this activity :- find out the solution of quadratic equation x2-8x-20=0 by cutting and pasting method? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can any body give the solution of this activity :- find out the solution of quadratic equation x2-8x-20=0 by cutting and pasting method?.
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