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If the roots of the equation 2x² 8x-m³=0 are equal then value of m is?
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If the roots of the equation 2x² 8x-m³=0 are equal then value of m is?
Equal Roots of Quadratic Equation
When the roots of a quadratic equation are equal, it means the discriminant is zero.
The Discriminant of Quadratic Equation
The discriminant of a quadratic equation is given by b²-4ac.
Finding the Value of m
Given the equation 2x² 8x-m³=0, we can compare it to the standard quadratic equation ax²+bx+c=0 to find a, b, and c.
a=2, b=8, c=-m³
The discriminant, therefore, is:
b²-4ac = 8²-4(2)(-m³) = 64+8m³
Since the roots of the equation are equal, the discriminant is zero.
64+8m³ = 0
Solving for m, we get:
m = -2∛2
Therefore, the value of m is -2∛2.
When the roots of a quadratic equation are equal, it means the discriminant is zero.
The Discriminant of Quadratic Equation
The discriminant of a quadratic equation is given by b²-4ac.
Finding the Value of m
Given the equation 2x² 8x-m³=0, we can compare it to the standard quadratic equation ax²+bx+c=0 to find a, b, and c.
a=2, b=8, c=-m³
The discriminant, therefore, is:
b²-4ac = 8²-4(2)(-m³) = 64+8m³
Since the roots of the equation are equal, the discriminant is zero.
64+8m³ = 0
Solving for m, we get:
m = -2∛2
Therefore, the value of m is -2∛2.
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If the roots of the equation 2x² 8x-m³=0 are equal then value of m is?
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If the roots of the equation 2x² 8x-m³=0 are equal then value of m is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the roots of the equation 2x² 8x-m³=0 are equal then value of m is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the roots of the equation 2x² 8x-m³=0 are equal then value of m is?.
If the roots of the equation 2x² 8x-m³=0 are equal then value of m is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the roots of the equation 2x² 8x-m³=0 are equal then value of m is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the roots of the equation 2x² 8x-m³=0 are equal then value of m is?.
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