Question

question:
if x+a is a zero of the polynomial 2x²+3ax+1 find the value of a.​

Answer 1

$\bf\underline{\underline{✯solution}}$

☆ if (x+a) is a zero of the polynomial 2x²+ 3ax +1,

☆ x= -a will satisfy the equation.

☆ 2x² + 3ax + 1 = 0

☆ 2(-a)² + 3a(-a) +1 = 0

☆ 2a²- 3a² + 1 = 0

☆ -a²= -1

☆ a = 1

Hence, the value of a is 1.

Answer 2

Answer:

$\huge \huge \bf {\: \pmb{Question}}$

if x+a is a zero of the polynomial 2x²+3ax+1 find the value of a.

Given:-

• x+a is a zero of the polynomial 2x²+3ax+1

Required to find :-

• the value of a.

$\huge \huge \bf {\: \pmb{ \green{Solution}}}$

let p(x) = 2x²+3ax+1

as given, if x+a is a zero of the polynomial

so, p(-a) = 0

→ p(-a) = 2(-a)² + 3a(-a) + 1 = 0

= 2a² - 3a² + 1 = 0

= 2a² - 3a² = -1

= -a² = -1

= a² = 1

a = ±√1