Question

find the value of 'm' if the quadratic equation 2x^2+mx+8=0 has equal roots.​

Answer 1

SOLUTION

TO DETERMINE

The value of m such that the quadratic equation 2x² + mx + 8 = 0 has equal roots.

EVALUATION

Here the given Quadratic equation is

2x² + mx + 8 = 0

Now it is given that the quadratic equation has equal roots

∴ Discriminant = 0

$\sf{ \implies \: {m}^{2} - 4.2.8 = 0}$

$\sf{ \implies \: {m}^{2} - 64 = 0}$

$\sf{ \implies \: {m}^{2} = 64 }$

$\sf{ \implies \: m = \pm \: \sqrt{64} }$

$\sf{ \implies \: m = \pm \: 8 }$

FINAL ANSWER

$\sf{ m = \pm \: 8 }$

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