Find the roots of the equation x² + x − p(p + 1) = 0, where p is a constant
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x^2 + x - p(p+1) = 0
=> x^2 + (p+1)x - px - p(p+1) = 0
=> x( x + p + 1) - p (x + p + 1) = 0
=> (x - p) (x + p + 1) = 0
Roots are P and - (p + 1)
=> x^2 + (p+1)x - px - p(p+1) = 0
=> x( x + p + 1) - p (x + p + 1) = 0
=> (x - p) (x + p + 1) = 0
Roots are P and - (p + 1)
harsh7992:
i don't understand what is a first step
steps to split the middle term :- divide the product of coficient of x^2 and constant term, such that their sum is the coficient of x
oo
i understand thank you bro
Answered by
6
x^2 + x - p(p+1) = 0
=> x^2 + (p+1)x - px - p(p+1) = 0
=> x( x + p + 1) - p (x + p + 1) = 0
=> (x - p) (x + p + 1) = 0
Roots are P and - (p + 1)
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