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Chapter 10: Q 10.65 (page 1189)

Solve the equation using quadratic formula.

x(x+2)-5=0

Short Answer

Expert verified

The roots arex=-1+6,x=-1-6.

Step by step solution

01

 Given Information.    

The given equation is x(x+2)-5=0.

02

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

x(x+2)-5=0

Use distributive property.

x2+2x-5=0

Here,

a=1,b=2,c=-5

03

Substitute the values in quadratic formula.  

x=-2卤(2)2-4(1)(-5)2(1)x=-2卤4+202x=-2卤242

04

Use square root property.

x=-2卤262

Divide by 2.

x=-1卤6

Rewrite to show two solutions.

x=-1+6,x=-1-6.

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