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Chapter 10: Q 117 (page 1195)

Solve the equation using quadratic formula.

16c2+24c+9

Short Answer

Expert verified

The roots are c=-34.

Step by step solution

01

 Given Information.   

The given equation is16c2+24c+9.

02

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

16c2+24c+9

Here,

a=16,b=24,c=9

03

Substitute the values in quadratic formula.  

x=-b卤b2-4ac2a

Substitute all the values.

c=-b卤b2-4ac2ac=-24卤(24)2-4(16)(9)2(16)c=-24卤576-5762(16)c=-24卤576-57632

04

Use square root property.

c=-24卤032c=-2432c=-34

Thus, the root arec=-34.

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