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If the roots if the equation ax^2+2bx+c=0 and bx^2-2√acx+b=0 are simultaneously real,then prove that b^2=ac.

Posted by Himanshu Verma 4 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Ranjeet Singh Rajput 4 years, 6 months ago

answr Join / Login What would you like to ask? 11thMathsComplex Numbers and Quadratic EquationsQuadratic EquationsIf the roots of the equatio... Maths If the roots of the equations ax2+2bx+c=0 and bx2−2acx+b=0 are simultaneously real, then prove that b2=ac. Easy Answer Let D1 and D2 be the discriminants of the two equations, then D1≥0 and D2≥0 ⇒4b2−4ac≥0 and 4ac−4b2≥0 ⇒b2≥ac and ac≥b2 ⇒b2=ac

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CBSE > Class 10 > Mathematics