Chapter 10: Q 10.74 (page 1194)

Identify the most appropriate method to use to solve each quadratic equation:
(a) $8 a^{2} + 3 a - 9 = 0$
(b) $4 b^{2} + 4 b + 1 = 0$
(c) $5 c^{2} = 125$

Short Answer

Expert verified

(a) The most appropriate method to solve the equation $8 a^{2} - 3 a + 9 = 0$ is Quadratic Formula.

(b) The most appropriate method to solve the equation $4 b^{2} + 4 b + 1 = 0$ is Factoring.

Step by step solution

Part (a) Step 1: Given Information.

The given equation is $8 a^{2} + 3 a - 9 = 0$ .

Part (a) Step 2: Identify the appropriate method to solve the given equation.

$8 a^{2} + 3 a - 9 = 0$

While our first thought may be to try Factoring, thinking about all the possibilities for trial and error leads us to choose the Quadratic Formula as the most appropriate method.

Part (b) Step 1: Given Information.

The given equation is $4 b^{2} + 4 b + 1 = 0$ .

Part (b) Step 2: Identify the appropriate method to solve the given equation.

$4 b^{2} + 4 b + 1 = 0$

We recognize that the left side of the equation is a perfect square trinomial, and so Factoring will be the most appropriate method.

Part (c) Step 1: Given Information.

The given equation is $5 c^{2} = 125$ .

Part (c) Step 2: Identify the appropriate method to solve the given equation.

$5 c^{2} = 125$

The equation is in the form of $a x^{2} = b$ .

The appropriate method to solve this equation is square root property.

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Identify the most appropriate method to use to solve each quadratic equation:
(a) $8 a^{2} + 3 a - 9 = 0$
(b) $4 b^{2} + 4 b + 1 = 0$
(c) $5 c^{2} = 125$

Short Answer

Step by step solution

Part (a) Step 1: Given Information.

Part (a) Step 2: Identify the appropriate method to solve the given equation.

Part (b) Step 1: Given Information.

Part (b) Step 2: Identify the appropriate method to solve the given equation.

Part (c) Step 1: Given Information.

Part (c) Step 2: Identify the appropriate method to solve the given equation.

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Identify the most appropriate method to use to solve each quadratic equation:(a)8a2+3a-9=0(b)4b2+4b+1=0(c)5c2=125

Short Answer

Step by step solution

Part (a) Step 1: Given Information.

Part (a) Step 2: Identify the appropriate method to solve the given equation.

Part (b) Step 1: Given Information.

Part (b) Step 2: Identify the appropriate method to solve the given equation.

Part (c) Step 1: Given Information.

Part (c) Step 2: Identify the appropriate method to solve the given equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Mechanics Maths

Theoretical and Mathematical Physics

Decision Maths

Calculus

Study anywhere. Anytime. Across all devices.

Identify the most appropriate method to use to solve each quadratic equation:
(a) $8 a^{2} + 3 a - 9 = 0$
(b) $4 b^{2} + 4 b + 1 = 0$
(c) $5 c^{2} = 125$