If one root of the equation 2x-2 nbsp- ax - 6 - 0 is 3- then the value of a is - -8-7-3-5-

The correct option is A 8 If one root of the equation 2x^2 nbsp;+ ax + 6 = 0 is 3, then substituting nbsp;x = 3 will satisfy nbsp;the equation. 2(3)^2 + ...

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Byju's Answer

Standard X

Mathematics

Roots of Quadratic equation

If one root o...

Question

If one root of the equation $2 x^{2} + a x + 6 = 0$ is 3, then the value of a is ___________.

-8

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Solution

The correct option is A
-8

If one root of the equation $2 x^{2} + a x + 6 = 0$ is 3, then substituting $x = 3$ will satisfy the equation.

$2 (3)^{2} + 3 a + 6 = 0$

$\Rightarrow 18 + 3 a + 6 = 0$

$\Rightarrow 24 + 3 a = 0$

$\Rightarrow a = - 8$

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If one root of the equation 2x2+ax+6=0 is 3, then the value of a is ___________.

The correct option is A -8 If one root of the equation 2x2+ax+6=0 is 3, then substituting x=3 will satisfy the equation. 2(3)2+3a+6=0 ⇒18+3a+6=0 ⇒24+3a=0 ⇒a=−8

If one root of the equation $2 x^{2} + a x + 6 = 0$ is 3, then the value of a is ___________.

The correct option is A
-8

If one root of the equation $2 x^{2} + a x + 6 = 0$ is 3, then substituting $x = 3$ will satisfy the equation.

$2 (3)^{2} + 3 a + 6 = 0$

$\Rightarrow 18 + 3 a + 6 = 0$

$\Rightarrow 24 + 3 a = 0$

$\Rightarrow a = - 8$