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Chapter 10: Q 119 (page 1195)

Solve the equation using quadratic formula.

5m2+2m-7=0

Short Answer

Expert verified

The roots arem=-75,m=1.

Step by step solution

01

 Given Information.   

The given equation is5m2+2m-7=0.

02

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

5m2+2m-7=0

The equation is in standard form.

So,

a=5,b=2,c=-7.

03

Substitute the values in quadratic formula.  

m=-b卤b2-4ac2am=-2卤22-4(5)(-7)2(5)m=-2卤4+14010m=-2卤14410

04

Use square root property.

m=-2卤1210

Rewrite to show two solutions.

m1=-2+1210m1=1010m1=1

and

m2=-2-1210m2=-1410m2=-75

Thus, the roots arem=-75,m=1.

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