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The following equation is a qudratic equation. 16x^2 , - , 3

Question

The following equation is a qudratic equation.
$16 x^{2} - 3 = (2 x + 5) (5 x - 3)$

True

False

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Alexander Discussed

The following equation is a qudratic equation.

16 x^{2} - 3 = (2 x + 5) (5 x - 3)

12 mins ago

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12 mins ago

Text solutionVerified

16 x^{2} - 3 = (2 x + 5) (5 x - 3)

\Rightarrow

16 x^{2} - 3 = 10 x^{2} - 6 x + 25 x - 15

\Rightarrow

16 x^{2} - 10 x^{2} - 3 + 6 x - 25 x + 15 = 0

\Rightarrow

6 x^{2} - 19 x + 12 = 0

\Rightarrow

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

\Rightarrow

Comparing given equation

6 x^{2} - 19 x + 12 = 0

with standard form of quadratic equation

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

\Rightarrow

We get,

a = 6, b = - 19

and

c = 12

∴

The equation

16 x^{2} - 3 = (2 x + 5) (5 x - 3)

is quadratic equation is true.

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Question Text	The following equation is a qudratic equation. $16 x^{2} - 3 = (2 x + 5) (5 x - 3)$
Answer Type	Text solution:1
Upvotes	150