Chapter 9: Q. 9.49 (page 893)

Solve by using the Quadratic Formula: $x (x + 2) - 5 = 0$

Short Answer

Expert verified

The solution of the quadratic equation is $x = - 1 \pm \sqrt{6}$

Step by step solution

Step `1: Given information

We are given a quadratic equation $x (x + 2) - 5 = 0$

Distribute and write the equation in standard form

On distributing we get

$x^{2} + 2 x - 5 = 0$

Identify the values of a,b,cand write the quadratic formula

On comparing with standard equation we get $a = 1, b = 2, c = - 5$

The quadratic formula can be given as

$x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$

Substitute the values in the quadratic formula and simplify

We substitute the values in the formula we get,

$x = \frac{- 2 \pm \sqrt{4 - 4 (- 5)}}{2} x = \frac{- 2 \pm \sqrt{4 + 20}}{2} x = \frac{- 2 \pm \sqrt{24}}{2} x = \frac{- 2 \pm 2 \sqrt{6}}{2}$

Find the common factor and remove it

We find the common factor

$x = \frac{2 (- 1 \pm \sqrt{6})}{2} x = - 1 \pm \sqrt{6}$

Conclusion

The solution of the above equation is $x = - 1 \pm \sqrt{6}$

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Solve by using the Quadratic Formula: $x (x + 2) - 5 = 0$

Short Answer

Step by step solution

Step `1: Given information

Distribute and write the equation in standard form

Identify the values of a,b,cand write the quadratic formula

Substitute the values in the quadratic formula and simplify

Find the common factor and remove it

Conclusion

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Solve by using the Quadratic Formula: x(x+2)-5=0

Short Answer

Step by step solution

Step `1: Given information

Distribute and write the equation in standard form

Identify the values of a,b,cand write the quadratic formula

Substitute the values in the quadratic formula and simplify

Find the common factor and remove it

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Mechanics Maths

Discrete Mathematics

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

Solve by using the Quadratic Formula: $x (x + 2) - 5 = 0$