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Chapter 4: Q. 21 (page 163)

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

Ifax2+bx+c=0, witha鈮�0, then x=鈭�b卤b2鈭�4ac2a.

x2+5x+2=0

Short Answer

Expert verified

The values of x arex=鈭�5+172 andx=鈭�5鈭�172.

Step by step solution

01

- Understand the concept used 

If ax2+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 thatx2+5x+2=0.Using quadratic formulax=鈭�b卤b2鈭�4ac2a, substitute 1 for a, 5 for b and 2 for c.

Put the values in the formula and getx=鈭�5卤52鈭�4脳1脳221.

03

- Simplify for x 

Simplify the expression for x.

x=鈭�5卤25鈭�82=鈭�5卤172

Therefore, x=鈭�5+172and x=鈭�5鈭�172.

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