Chapter 10: Q 80 (page 1181)

Solve the equation by completing square method.
$t^{2} - 14 t = - 50$

Short Answer

Expert verified

The equation has no real solutions.

Step by step solution

Given Information

The Given equation is $t^{2} - 14 t = - 50$ .

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

The variable terms are on the left side.

$t^{2} - 14 t = - 50$

Here, $b = - 14$

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

$= {(\frac{1}{2} (- 14))}^{2} = {(- 7)}^{2} = 49$

Add $49$ both sides.

$t^{2} - 14 t + 49 = - 50 + 49 t^{2} - 14 t + 49 = - 1$

Factor the perfect square trinomial as a binomial square.

$(t - 7)^{2} = - 1$

Use the square root property.

$t - 7 = \pm \sqrt{- 1}$

Since $\sqrt{- 1}$ is not a real number.

Thus, the equation has no real solutions.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Solve the equation by completing square method.
$t^{2} - 14 t = - 50$

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

Decision Maths

Geometry

Calculus

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve the equation by completing square method. t2-14t=-50

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

Decision Maths

Geometry

Calculus

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve the equation by completing square method.
$t^{2} - 14 t = - 50$