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Chapter 10: Q 99 (page 1195)

Solve the equation using quadratic formula.

4m2+m-3=0

Short Answer

Expert verified

The solutions arem=34,m=1.

Step by step solution

01

 Given Information.

The given equation is 4m2+m-3=0.

02

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

The quadratic equation is in standard form.

So,

a=4,b=1,c=-3

03

Substitute the values in quadratic formula.

x=-b卤b2-4ac2a

m=-(1)卤(1)2-4(4)(-3)2(4)m=-1卤1+488m=-1卤498m=-1卤78

04

Rewrite to show two solutions.

m1=-1+78m1=34m2=-1-78m2=-88=1

Thus, the solutions arem=34,m=1.

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