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Chapter 8: Q4. (page 520)

Which of the following is a solution to x2+6x鈭�112=0?

F鈭�14

G-6

H 6

J 12

Short Answer

Expert verified

The solution of x2+6x鈭�112=0is x=鈭�14,8. Hence the answer is option F.

Step by step solution

01

Step 1. Factor by using GCF.

Factor by using GCF to get the form xy=0.

x+14x鈭�8=0

02

Step 2. Write zero product property.

For any real numbers x and y, ifxy=0 thenx=0,y=0 or both x and y equal to zero.

03

Step 3. Apply zero product property.

Apply zero product property to the equation, x+14x鈭�8=0.

x+14=0orx鈭�8=0x=鈭�14x=8

Therefore, the roots are-14 and 8.

04

Step 4. Check the obtained solution.

To check whether the obtained solution is correct or not, substitute -14 for x and 8 for x in the given equation and simplify.

role="math" localid="1647693760070" 鈭�142+6鈭�14鈭�112=?00=0鉁�

82+68鈭�112=?00=0鉁�

Therefore, the obtained solution is correct. As the obtained solution completely matches with option F, option F is the required answer.

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