Chapter 10: Q 126 (page 1195)

Solve the equation using quadratic formula.
$4 d^{2} - 7 d + 2 = 0$

Short Answer

Expert verified

The result is $d = \frac{7 + \sqrt{17}}{8}, d = \frac{7 - \sqrt{17}}{8}$ .

Step by step solution

Given Information.

The given equation is $4 d^{2} - 7 d + 2 = 0$ .

Write the quadratic equation in standard form and identify a,b,c.

$4 d^{2} - 7 d + 2 = 0$

The equation is in standard form.

So,

$a = 4, b = - 7, c = 2$

Substitute the values in quadratic formula.

$d = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a} d = \frac{- (- 7) \pm \sqrt{(- 7)^{2} - 4 (4) (2)}}{2 (4)} d = \frac{7 \pm \sqrt{49 - 32}}{8} d = \frac{7 \pm \sqrt{17}}{8}$

Rewrite to show two solutions.

$d = \frac{7 + \sqrt{17}}{8}, d = \frac{7 - \sqrt{17}}{8}$

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 using quadratic formula.
$4 d^{2} - 7 d + 2 = 0$

Short Answer

Step by step solution

Given Information.

Write the quadratic equation in standard form and identify a,b,c.

Substitute the values in quadratic formula.

Rewrite to show two solutions.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Calculus

Decision Maths

Geometry

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve the equation using quadratic formula.4d2-7d+2=0

Short Answer

Step by step solution

Given Information.

Write the quadratic equation in standard form and identify a,b,c.

Substitute the values in quadratic formula.

Rewrite to show two solutions.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Calculus

Decision Maths

Geometry

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve the equation using quadratic formula.
$4 d^{2} - 7 d + 2 = 0$