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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 isx=-1卤6

Step by step solution

01

Step `1: Given information

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

02

Distribute and write the equation in standard form

On distributing we get

x2+2x-5=0

03

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=-b卤b2-4ac2a

04

Substitute the values in the quadratic formula and simplify

We substitute the values in the formula we get,

x=-2卤4-4(-5)2x=-2卤4+202x=-2卤242x=-2卤262

05

Find the common factor and remove it

We find the common factor

x=2(-1卤6)2x=-1卤6

06

Conclusion

The solution of the above equation isx=-1卤6

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