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Question

Question: For what value of k will the equation \(a,bc\) have equal roots?...

For what value of k will the equation a,bca,bc have equal roots?

A

5

B

9

C

Both (1) and (2)

D

0

Answer

Both (1) and (2)

Explanation

Solution

For the equation to be real roots,

(a+b+c)2(a + b + c)^{2}

b24acb^{2} - 4ac

b22acb^{2} - 2ac

2b2ac2b^{2} - acax2+2bx+c=0ax^{2} + 2bx + c = 0 = 0

px2+2qx+r=0px^{2} + 2qx + r = 0or bac=qpr\frac{b}{ac} = \frac{q}{pr}.