Question

11.
If -4 is a root of the quadratic equation 2x2 + px - 2 = 0 , the
value of
p
is​

Answer 1

Step-by-step explanation:

hear are you with the correct

answer and you can check also by putting the value of p obtained in given equation .........

Answer 2

$\huge{\underline{\mathfrak{\red{Answer}}}}$

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$\large{\star{\gray{\sf{Given}}}}$

-4 is a root of quadratic equation 2x² + px - 2 = 0

$\rule{200}{2}$

$\large{\star{\gray{\sf{To \: Find}}}}$

We have to find the value of p

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$\large{\star{\gray{\sf{Solution}}}}$

As, one root of the quadratic equation is given.

So, if we will put the value of x as -4. Then, we can get the value of p.

$\sf{\implies 2(-4)^2 + p(-4) - 2 = 0} \\ \\ \sf{\implies 2(16) - 4p - 2 =0} \\ \\ \sf{\implies 32 -2 = 4p} \\ \\ \sf{\implies 4p = 30} \\ \\ \sf{\implies p = \frac{\cancel{30}}{\cancel{4}}} \\ \\ \sf{\implies p = \frac{15}{2}}$

$\large{\star{\boxed{\boxed{\orange{\sf{p = \frac{15}{2}}}}}}}$