Question

the value of ax²+bx+c at x = - b/a is​

Answer 1

Answer:

ax²+bx+c

Step-by-step explanation:

x= -b/a

a(-b/a)² +b(-b/a) +c

a× b²/a² -b²/a +c

b²/a -b²/a +c

c

Answer 2

Step-by-step explanation:

Given : A quadratic equation $ax^{2} +bx+c$.

To find : The value of equation at  $x=\frac{-b}{a}$.

• Calculating value of equation at $x=\frac{-b}{a}$.

We have,

⇒  $ax^{2} +bx+c=0$.

and we have to find the value of equation at $x=\frac{-b}{a}$.

substituting $\frac{-b}{a}$ in place of x,

⇒  $a*(\frac{-b}{a})^{2} +b(\frac{-b}{a})+c$

⇒  $a*\frac{b^{2} }{a^{2} } -\frac{b^{2} }{a}+c$

⇒  $\frac{b^{2} }{a}-\frac{b^{2} }{a}+c$

⇒  $c$

Hence, the value of equation at  $x=\frac{-b}{a}$ is $c$ .