Chapter 10: Q. 286 (page 1237)

In the following exercises, identify the most appropriate method (Factoring, Square Root, or Quadratic Formula) to use to solve each quadratic equation.
$ⓐ 4 d^{2} + 10 d - 5 = 21 ⓑ 25 x^{2} - 60 x + 36 = 0 ⓒ 6 {(5 v - 7)}^{2} = 150$

Short Answer

Expert verified

Part ⓐ The most appropriate method to use to solve the given quadratic equation, $4 d^{2} + 10 d - 5 = 21$ is : Quadratic formula method

Part ⓑ The most appropriate method to use to solve the given quadratic equation, $25 x^{2} - 60 x + 36 = 0$ is : factoring method

Part ⓒ The most appropriate method to use to solve the given quadratic equation, $6 {(5 v - 7)}^{2} = 150$ is : square root method

Step by step solution

Part (a) Step 1. Identifying the most appropriate method to use to solve the given quadratic equation.

Try Factoring first. If the quadratic factors easily, this method is very quick.

Try the Square Root Property next. If the equation fits the form $a x^{2} = k$ or $a {(x - h)}^{2} = k$ , it can easily be solved by using the Square Root Property. Use the Quadratic Formula at last. Any quadratic equation can be solved by using the Quadratic Formula.

Therefore, $4 d^{2} + 10 d - 5 = 21$ can be solved by quadratic formula as it doesn't seem to get solved by first two steps easily.

Part (b) Step 1. Identifying the most appropriate method to use to solve the given quadratic equation.

Given quadratic equation, $25 x^{2} - 60 x + 36 = 0$ , can be solved by factoring as it can be easily factored to: $(5 x - 6) (5 x - 6)$ .

Part (c) Step 1. Identifying the most appropriate method to use to solve the given quadratic equation.

Given quadratic equation, $6 {(5 v - 7)}^{2} = 150$ , can be solved by square root property as it fits the form $a {(x - h)}^{2} = k$ .

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In the following exercises, identify the most appropriate method (Factoring, Square Root, or Quadratic Formula) to use to solve each quadratic equation.
$ⓐ 4 d^{2} + 10 d - 5 = 21 ⓑ 25 x^{2} - 60 x + 36 = 0 ⓒ 6 {(5 v - 7)}^{2} = 150$

Short Answer

Step by step solution

Part (a) Step 1. Identifying the most appropriate method to use to solve the given quadratic equation.

Part (b) Step 1. Identifying the most appropriate method to use to solve the given quadratic equation.

Part (c) Step 1. Identifying the most appropriate method to use to solve the given quadratic equation.

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In the following exercises, identify the most appropriate method (Factoring, Square Root, or Quadratic Formula) to use to solve each quadratic equation.ⓐ4d2+10d−5=21ⓑ25x2−60x+36=0ⓒ6(5v−7)2=150

Short Answer

Step by step solution

Part (a) Step 1. Identifying the most appropriate method to use to solve the given quadratic equation.

Part (b) Step 1. Identifying the most appropriate method to use to solve the given quadratic equation.

Part (c) Step 1. Identifying the most appropriate method to use to solve the given quadratic equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Mechanics Maths

Pure Maths

Discrete Mathematics

Decision Maths

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, identify the most appropriate method (Factoring, Square Root, or Quadratic Formula) to use to solve each quadratic equation.
$ⓐ 4 d^{2} + 10 d - 5 = 21 ⓑ 25 x^{2} - 60 x + 36 = 0 ⓒ 6 {(5 v - 7)}^{2} = 150$