If -2 is root of the equation 3x2 +7x+ p =0. Find the value of k so that the roots of the equation x2+k(4x+k-1)+p=0 are equal
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Step-by-step explanation:
P(-2)= 3(-2²)+7(-2)+p=0...........(1)
=12-14+p=0
= -2= -p
= p= 2
2nd equation becomes= x²+k(4x+k-1)+2......(2)
now, since it is given that the 2nd equation has real roots.
therefore, D=b²-4 ac=0
= k²-4(1)(2)=0
= k²-8=0
= k²=8
= k= √8
k= 2√2.... ANS.
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