Question

Solve 2x + ax - a² = 0 for x by quadratic formula.​

Answer 1

Answer:

answer will be

Step-by-step explanation:

Comparing the given equation with ax2 + bx + c = 0, we get

a = 2, b = a, c = -a2

Let us calculate b2 – 4ac.

⇒ a2 – 4(2) (-a2)

⇒ a2 + 8a2 = 9a2 ≥ 0

We know that if b2 – 4ac ≥ 0, then the roots of the quadratic equation ax2 + bx + c = 0 are given by

.

⇒ x = (-a � √9a2) /4

⇒ x = (-a � 3a)/4

⇒ x = (-a + 3a)/4 (or) x = (-a – 3a)/4

⇒ x = 2a/4 (or) x = -4a/4

⇒ x = a/2, x = -a

Ans. The roots of the given equation are x = –a, a/2.

Answer 2

Step-by-step explanation:

hope it is helpful for you