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The following equation is a quadratic equation. (x , + , 2)^

Question

The following equation is a quadratic equation.
$(x + 2)^{3} = x^{3} - 4$

True

False

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Oliver Discussed

The following equation is a quadratic equation.

(x + 2)^{3} = x^{3} - 4

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

(x + 2)^{3} = x^{3} - 4

x^{3} + 3 (x^{2}) (2) + 3 x (2)^{2} + (2)^{3} = x^{3} - 4

x^{3} + 6 x^{2} + 12 x + 8 - x^{3} + 4 = 0

6 x^{2} + 12 x + 12 = 0

6 (x^{2} + 2 x + 2) = 0

\Rightarrow

x^{2} + 2 x + 2 = 0

\Rightarrow

A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared.

\Rightarrow

Comparing equation

x^{2} + 2 x + 2 = 0

with standard form of quadratic equation

a x^{2} + b x + c = 0

\Rightarrow

We get,

a = 1, b = 2

and

c = 2

∴

The equation

(x + 2)^{3} = x^{3} - 4

is quadratic equation is true.

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Question Text	The following equation is a quadratic equation. $(x + 2)^{3} = x^{3} - 4$
Answer Type	Text solution:1
Upvotes	150