Question

Find the value of p if 3x^2+5x+p=0 has equal roots

Answer 1

The value of p so that the equation 3x²-5x-2p=0 has equal roots is -25/24 and the root is 5/6.

Given equation is 3x²-5x-2p=0.

We have to find the value of p so that the equation has equal roots.

For a quadratic equation to have equal roots b²-4ac should be equal to zero in the quadratic equation ax²+bx+c=0.

Now comparing the equation with the standard equation ax²+bx+c=0 , we get

a=3 , b=-5 , c=-2p

Now, b²-4ac = 0 as the equation has equal roots

(-5)²-4(3)(-2p)=0

25+24p=0

p = -25/24

Now the quadratic equation becomes 3x²-5x+25/12=0.

Root of the equation is -b/a

Root of the equation is 5/6

Answer 2

Answer:

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