Question

Which among the following is a Quadratic equation and why?

A)x²+1=x²+2x

B)x(x+1)=x(x-3)

C)x²-2x=3(5x+2)

D)x²+2x+3=x²+5x
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Answer 1

Heyy!!?? R u okay???!! I mean y u blocked mehh???

Answer 2

Answer: c) x²-2x=3(5x+2)

Step-by-step explanation:

A quadratic equation should be of the form: $ax^{2}+bx+c$ where a, b are coefficients, x is variable and c is a constant term and $a\neq 0$ .

$A)x^{2}+1=x^{2}+2x\\On\ simplifying:2x-1=0\\\therefore not\ a\ quadratic\ equation\\\\B)x(x+1)=x(x-3)\\x^{2}+x=x^{2}-3x\\4x=0\\\therefore\ not\ a\ quadratic\ equation\\\\C)x^{2}-2x=3(5x+2)\\x^{2}-2x=15x+6\\x^{2}-17x-6=0\\\therefore This\ is\ a\ quadratic\ equation\\\\D)x^{2}+2x+3=x^{2}+5x\\3x-3=0\\\therefore\ not\ a\ quadratic\ equation$