Chapter 10: Q 331. (page 1240)

Use the discriminant to determine the number of solutions of each quadratic equation.
$6 p^{2} - 13 p + 7 = 0$

Short Answer

Expert verified

As a result, the equation has two distinct solutions.

Step by step solution

Given information.

The given equation is.

$6 p^{2} - 13 p + 7 = 0$

Determine the number of solutions to each quadratic equation using the discriminant.

First, write the equation $a x^{2} + b x + c = 0$ a in standard form, as shown below.

Determine the a, b, and c values.

In comparison to the standard form, the values are a = 6,b = -13, and c= 7.

Calculate the discriminant $b^{2} - 4 a c$ now.

$b^{2} - 4 a c = {(- 13)}^{2} - 4 (6) (7) b^{2} - 4 a c = 169 - 168 b^{2} - 4 a c = 1$

Because the discriminant is positive, the equation has two real solutions.

As a result, the equation has two distinct solutions.

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Use the discriminant to determine the number of solutions of each quadratic equation.
$6 p^{2} - 13 p + 7 = 0$

Short Answer

Step by step solution

Given information.

Determine the number of solutions to each quadratic equation using the discriminant.

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Use the discriminant to determine the number of solutions of each quadratic equation.6p2−13p+7=0

Short Answer

Step by step solution

Given information.

Determine the number of solutions to each quadratic equation using the discriminant.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Pure Maths

Decision Maths

Mechanics Maths

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Use the discriminant to determine the number of solutions of each quadratic equation.
$6 p^{2} - 13 p + 7 = 0$