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Chapter 10: Q 10.70 (page 1191)

Solve the equation using quadratic formula.

25t2-40t=-16

Short Answer

Expert verified

The roots aret=45.

Step by step solution

01

 Given Information.  

The given equation is 25t2-40t=-16.

02

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

25t2-40t=-16

Rewrite in standard form.

25t2-40t+16=0

Here,

a=25,b=-40,c=16

03

Substitute the values in quadratic formula.

t=-b卤b2-4ac2at=-(-40)卤(-40)2-4(25)(16)2(25)t=40卤1600-160050t=40卤050

The square root of zero is zero itself.

So,

t=4050t=45

The root ist=45.

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