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if SIN A and COS A are the roots of the quadratic equation ax^2 + bx + c = 0 then prove that a^2 + 2ac = b^2

Posted by Shriya ?? 6 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Shriya ?? 6 years, 11 months ago

and yes ! i understand this

0Thank You

Shriya ?? 6 years, 11 months ago

thanks puja sahoo?

0Thank You

Puja Sahoo? 6 years, 11 months ago

(SinA + cosA= -b/a). (SinA × cosA = c/a). Now, ----->(sinA+cosA)square = (sinA)square + (cosA) square + 2×sinA×cosA. ------------------------------------> (-b/a)square=1+2c /a -------> b square/a square = a+2c/a ------> b square = a square + 2ac. Proved, hope yu can understand it?

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