The Completing Square Method converts the quadratic equation $a x^{2} + b x + c = 0$ into which of the following forms?

(p x + q) (r x + s) = 0

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p x + q = 0

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(x + p)^{2} = q

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All of the above.

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Solution

The correct option is C $(x + p)^{2} = q$
The Completing Square Method involves converting a quadratic equation of the form $a x^{2} + b x + c = 0$ into the form $(x + p)^{2} = q$ so that this equation can be solved easily as it now contains only one term of $x$ unlike the original quadratic equation which has two terms in $x$ , $a x^{2}$ and bx thus making it difficult to solve the equation. Hence option c is the correct answer.

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Similar questions

Using the Completing Square Method convert the following quadratic equation in the form of $(x + p)^{2} = q$ and then find out its roots.

$5 x^{2} - 6 x - 2 = 0$

x^{2}

x^{2} - p x + q; q \neq 0

x^{3} - a x^{2} + b x - c; c \neq 0

x-a is a factor of p(x)= ax²+bx+c. Which of the following is true?

P (x) = a x^{2} + b x + c

Q (x) = - a x^{2} + d x + c

a c \neq 0

P (x) . Q (x) = 0

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