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Chapter 8: Q25. (page 492)

Solve each equation. Check your solutions.

24+x2=10x

Short Answer

Expert verified

The solution of24+x2=10 is x=4,6.

Step by step solution

01

Step 1. Subtract.

Subtract 10xfrom both the sides of the given equation.

role="math" localid="1647952589882" 24+x2鈭�10x=10x鈭�10x=0

02

Step 2. Factor by using GCF.

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

x鈭�4x鈭�6=0

03

Step 3. Write zero product property.

For any real numbers x and y, if xy=0 then x=0,y=0 or both x and y equal to zero.

04

Step 4. Apply zero product property.

Apply zero product property to the given equation, x鈭�4x鈭�6=0.

x鈭�4=0orx鈭�6=0x=4x=6

Therefore, the roots are 4 and 6.

05

Step 5. Check the obtained solution.

To check whether the obtained solution is correct or not, substitute 4 forxand 6 forxin the given equation and simplify.

role="math" localid="1647952986538" 24+42=?10440=40LHS=RHS

role="math" localid="1647952992003" 24+62=?10660=60LHS=RHS

Therefore, the obtained solution is correct.

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Solve each equation. Check your solutions.

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