Grade 11Algebra

nature of the roots of equation a-bx-x^2,a>0,b>0 ?

equal sign and positive

differnt sign and greater root is negative

Bhavesh

10 Years agoGrade 11

10 Years ago

Dear Bhavesh answer will be different sign and greater root is negative.

Explanation- first mutiply the given equation by negative sign, so the new equation will be x²+bx-a=0

Now, we know that sum of roots= -(cooefficient of X) / cooefficient of x²

^andproduct of roots= constant / cooefficient of x²

so according to the question sum of roots =-b and product of root = -a

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