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What is the number of integral solutions of the equation 2x2 – 3x – 2 = 0?
- a)0
- b)1
- c)2
- d)3
- e)4
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
What is the number of integral solutions of the equation 2x2 – 3...
Solution:
Given equation is 2x2 + 3x + 2 = 0
We can solve this quadratic equation using the quadratic formula, which states that for an equation of the form ax2 + bx + c = 0, the solutions (also called roots or zeros) are given by:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
Applying this formula to our equation, we get:
x = (-3 ± sqrt(3^2 - 4(2)(2))) / 2(2)
x = (-3 ± sqrt(1)) / 4
x = (-3 ± 1) / 4
Therefore, the solutions are x = -1/2 and x = -1.5
But we have to find the number of integral solutions, i.e., solutions that are integers. In this case, there is only one such solution: x = -1
Therefore, the answer is option B (1).
Given equation is 2x2 + 3x + 2 = 0
We can solve this quadratic equation using the quadratic formula, which states that for an equation of the form ax2 + bx + c = 0, the solutions (also called roots or zeros) are given by:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
Applying this formula to our equation, we get:
x = (-3 ± sqrt(3^2 - 4(2)(2))) / 2(2)
x = (-3 ± sqrt(1)) / 4
x = (-3 ± 1) / 4
Therefore, the solutions are x = -1/2 and x = -1.5
But we have to find the number of integral solutions, i.e., solutions that are integers. In this case, there is only one such solution: x = -1
Therefore, the answer is option B (1).
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Community Answer
What is the number of integral solutions of the equation 2x2 – 3...
Make it a^2 + 2ab +b^2
1st take 2 to ri8 side and devide 2 in each side
you get x^2-3x/2=1
here 2ab is 3x/2, than b is 3/4
add (3/4)^2 in both sides
it gives x^2 - 3x/2+ (9/16)=25/16
(x-3/4)^2 =25/16
x-3/4= 5/4
x=2
1st take 2 to ri8 side and devide 2 in each side
you get x^2-3x/2=1
here 2ab is 3x/2, than b is 3/4
add (3/4)^2 in both sides
it gives x^2 - 3x/2+ (9/16)=25/16
(x-3/4)^2 =25/16
x-3/4= 5/4
x=2
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What is the number of integral solutions of the equation 2x2 – 3x – 2 = 0?a)0b)1c)2d)3e)4Correct answer is option 'B'. Can you explain this answer?
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