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If -5 is the root of the quadratic equation 2x^2 px-15=0 and the equation p(x^2 x) k=0 has a real and equal roots find the value of k?
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If -5 is the root of the quadratic equation 2x^2 px-15=0 and the equat...
Put x : -5
2(-5)2+p(-5)-15.
50-5p-15
50-15-5p=0
35-5p=0
-5p= -35
p= -35\-5
p=7

put p=7 in the equation px2+px+ k
7x2+7x+k

To find the root of the quadratic poly.applying the quadratic formula.
D= b2-4ac
(7)2-4(7)(k)
49-28k=0
-28k=-49
k= -49\-28k
k= 7\4
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