Question

if one root of the quadratic equation 3x 2+qx-4 =0 is 4,fomd the value of q​

Answer 1

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Answer 2

Given :

• Quadratic equation : $\sf{3x^2 + qx -4 = 0}$
• Root of quadratic equation is 4.

To Find :

We have to find the value of q.

Explanation :

As, we have to find the value of q from the quadratic equation and 1 root of the quadratic equation is given which is 4.

So, if we put x as 4 then we can find the value of q.

A.T.Q

$\sf{\dashrightarrow 3(4)^2 + q(4) - 4 = 0} \\ \\ \sf{\dashrightarrow 3(16) + 4q - 4 = 0} \\ \\ \sf{\dashrightarrow 48 + 4q - 4 = 0} \\ \\ \sf{\dashrightarrow 44 + 4q} \\ \\ \sf{\dashrightarrow 4q = -44} \\ \\ \sf{\dashrightarrow q = \dfrac{-44}{4}} \\ \\ \sf{\dashrightarrow q = -11} \\ \\ \large{\star{\underline{\boxed{\sf{q = -11}}}}}$