if -5 is a root of 2x² + Px-15=0 & The equation p(xsquare+x)+k,=0
how equal not
then find K.
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Here is the answer to your question.
The given quadratic equation is 2x² + px –15=0
x = –5 is given to be the root of this equation
- 2(-5)²+p(-5)-15=0
=50 -5p-15=0
35-5p=0
p=35÷5=7
putting p=7,we get the quadric equation7 7(x²+x)+k=0 has equal
I.e.. 7x²+7x+k=0 , has equal roots
D=b^2-4ac=0
=(7)²-4 ×7×k=0
28k =49
k= 49÷28
= 7/4
Thus the value of k= 7/4
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