Question

if the roots of the equation 2x^2+8x-m^3=0 are equalthe then value of mthe is?

Answer 1

roots are equal when b^2-4ac=0

Answer 2

Answer:

Value of m = -2

Step-by-step explanation:

Given quadratic equation 2x²+8x-m³=0

Compare this with ax²+bx+c=0, we get

a = 2, b = 8 , c = -m³

Discreminant (D) = 0

/* Since, roots are equal */

b²- 4ac = 0

=> 8² - 4 × 2 × (-m³)=0

=> 64 + 8m³ = 0

/* Divide each term by 8 , we get

=> 8 + m³ = 0

=> m³ = -8

=> m³ = (-2)³

=> m = -2

Therefore,

Value of m = -2

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