Chapter 10: Q 77 (page 1181)

Solve the equation by completing square method.
$m^{2} + 4 m = - 44$

Short Answer

Expert verified

The equation has no real solutions.

Step by step solution

Given Information

The Given equation is $m^{2} + 4 m = - 44$ .

Isolate the variable terms on one side and the constant terms on the other.

The variable terms are on the left side.

$m^{2} + 4 m = - 44$

Here , $b = 4$

Find 12b2 and add to the both sides of equation.

$= {(\frac{1}{2} (4))}^{2} = {(2)}^{2} = 4$

Add $4$ both sides.

$m^{2} + 4 m + 4 = - 44 + 4 m^{2} + 4 m + 4 = - 40$

Factor the perfect square trinomial as a binomial square.

$(m + 2)^{2} = - 40$

Use the square root property.

$m + 2 = \pm \sqrt{- 40}$

The $\sqrt{- 40}$ is not a real number.

Thus, the equation has no real solutions.

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Solve the equation by completing square method.
$m^{2} + 4 m = - 44$

Short Answer

Step by step solution

Given Information

Isolate the variable terms on one side and the constant terms on the other.

Find 12b2 and add to the both sides of equation.

Factor the perfect square trinomial as a binomial square.

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Solve the equation by completing square method. m2+4m=-44

Short Answer

Step by step solution

Given Information

Isolate the variable terms on one side and the constant terms on the other.

Find 12b2 and add to the both sides of equation.

Factor the perfect square trinomial as a binomial square.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Discrete Mathematics

Mechanics Maths

Logic and Functions

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Solve the equation by completing square method.
$m^{2} + 4 m = - 44$