Chapter 10: Q 30 (page 1165)

Solve the quadratic equation using square root property.
$9 y^{2} + 12 y + 4 = 9$

Short Answer

Expert verified

The solutions are $y = \frac{- 5}{3}, y = \frac{1}{3}$ .

Step by step solution

Given Information.

The Given equation is $9 y^{2} + 12 y + 4 = 9$ .

Factor the trinomial.

$(3 y)^{2} + 2 (3 y) (2) + (2)^{2} = 9 (3 y + 2)^{2} = 9$

Use square root property.

$3 y + 2 = \pm \sqrt{9} 3 y + 2 = \pm 3$

Isolate the term.

$3 y = - 2 \pm 3 y = \frac{- 2 \pm 3}{3}$

Rewrite to show two solutions.

$y = \frac{- 2 + 3}{3} = \frac{1}{3} y = \frac{- 2 - 3}{3} = \frac{- 5}{3}$

Thus, the solutions are $y = \frac{- 5}{3}, y = \frac{1}{3}$ .

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Solve the quadratic equation using square root property.
$9 y^{2} + 12 y + 4 = 9$

Short Answer

Step by step solution

Given Information.

Factor the trinomial.

Isolate the term.

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Solve the quadratic equation using square root property. 9y2+12y+4=9

Short Answer

Step by step solution

Given Information.

Factor the trinomial.

Isolate the term.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Probability and Statistics

Decision Maths

Discrete Mathematics

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Solve the quadratic equation using square root property.
$9 y^{2} + 12 y + 4 = 9$