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Chapter 4: Q. 20 (page 163)

Solve each equation by factoring or by using the quadratic formula. The quadratic formula is:

If ax2+bx+c=0, witha鈮�0, thenx=鈭�b卤b2鈭�4ac2a.

15+4y2=17y

Short Answer

Expert verified

The values of y arey=3andy=54.

Step by step solution

01

- Understand the concept used 

Ifax2+bx+c=0 , witha鈮�0, thenx=鈭�b卤b2鈭�4ac2a . Solving using factoring can be done by splitting the middle term of equation and then making groups and equating them to zero.

02

- Substitute the values 

It is given that15+4y2=17ywhich can also be written as4y2鈭�17y+15=0 .Using quadratic formulay=鈭�b卤b2鈭�4ac2a, substitute 4 for a, -17 for b and 15 for c.

Put the values in the formula and gety=鈭�鈭�17卤鈭�172鈭�4脳4脳1524 .

03

- Simplify for y 

Simplify the expression for y.

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Proof
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