Question

(x²+2x)² = x⁴+3+4x² is that quadratic equation?​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given :-

(x²+2x)² = x⁴+3+4x²

To find :-

Check whether is that quadratic equation ? or not ?

Solution :-

Given equation is (x²+2x)² = x⁴+3+4x²

=> (x²+2x)² = x⁴+4x²+3

We know that

(a+b)² = a²+2ab+b²

Where, a = x² and b = 2x

=> (x²)²+2(x²)(2x)+(2x)² = x⁴+4x²+3

=> x⁴+4x³+4x² = x⁴+4x²+3

=> x⁴+4x³+4x²-x⁴-4x²-3 = 0

=> (x⁴-x⁴)+4x³+(4x²-4x²)-3 = 0

=> 0+4x³+0-3 = 0

=> 4x³-3 = 0

=> It is a cubic equation

=> It is not a quadratic equation.

Answer:-

(x²+2x)² = x⁴+3+4x² is a quadratic equation.

Used formulae:-

→ An equation of the degree 2 is called a Quadratic equation.

→An equation of the degree 3 is called a Cubic equation.