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Chapter 10: Q 106 (page 1195)

Solve the equation using quadratic formula.

t2+13t+40=0

Short Answer

Expert verified

The roots aret=-8,t=-5.

Step by step solution

01

 Given Information. 

The given equation ist2+13t+40=0.

02

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

The quadratic equation is in standard form.

So,

a=1,b=13,c=40

03

Substitute the values in quadratic formula. 

t=-b卤b2-4ac2at=-(13)卤(13)2-4(1)(40)2(1)t=-13卤169-1602t=-13卤92

Use the square root property.

t=-13卤32

04

Rewrite to show two solutions. 

t1=-13+32t1=-102t1=-5

and

t2=-13-32t2=-162t2=-8

Thus, the roots aret=-8,t=-5.

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