If -2 is the root of the quadratic equation x2-px-2=0 and the quadratic equation x2+px+2λ=0 has equal roots,then value of 8λ is given by
please answer fast i have exam on day after tommorow and please explain complete soultion
Hi Prakhar!
Here is the answer to your query.
It is given that –2 is a root of the quadratic equation x2 – px –2 = 0
∴ (–2)2 – p (–2) –2 = 0
⇒ 4 + 2p – 2 = 0
⇒ 2p + 2 =0
⇒ 2p = –2
⇒ p = –1
It is given that quadratic equation x2 + px + 2l = 0 has equal roots
∴ D = 0
⇒ p2 – 4 × 1 × 2l = 0
⇒ (–1)2 – 8l = 0
⇒ 1 – 8l = 0
⇒8l = 1
Thus, the value of 8l is 1
Hope! This will help you.
Cheers!!!