Chapter 9: Q.449. (page 983)

Solve by using the quadratic formula.
$4 c^{2} + 4 c + 1 = 0$

Short Answer

Expert verified

The solution is $c = - \frac{1}{2}$ .

Step by step solution

Step 1. Given information.

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

Step 2. Apply the quadratic formula.

The quadratic formula is $x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$ .

$\begin{array}{rcl} c & = & \frac{- 4 \pm \sqrt{4^{2} - 4 \times 4 \times 1}}{2 \times 4} \dots \dots \dots (a = 4, b = 4, c = 1) \\ = & \frac{- 4 \pm \sqrt{16 - 16}}{8} \\ = & \frac{- 4 \pm \sqrt{0}}{8} \\ = & \frac{- 4}{8} \\ = & - \frac{1}{2} \end{array}$

Step 3. Simplified answer.

Hence, the required solution is $c = - \frac{1}{2}$ .

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Solve by using the quadratic formula.
$4 c^{2} + 4 c + 1 = 0$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Apply the quadratic formula.

Step 3. Simplified answer.

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Solve by using the quadratic formula.4c2+4c+1=0

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Apply the quadratic formula.

Step 3. Simplified answer.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Calculus

Logic and Functions

Probability and Statistics

Mechanics Maths

Geometry

Study anywhere. Anytime. Across all devices.

Solve by using the quadratic formula.
$4 c^{2} + 4 c + 1 = 0$