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Chapter 8: Q24. (page 492)

Solve each equation. Check your solutions.

x2-3x-18=0

Short Answer

Expert verified

The solution ofx2鈭�3x鈭�18=0 is x=6,鈭�3.

Step by step solution

01

Step 1. Factor by using GCF.

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

x鈭�6x+3=0

02

Step 2. Write zero product property.

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

03

Step 3. Apply zero product property.

Apply zero product property to the given equation, x鈭�6x+3=0.

x鈭�6=0orx+3=0x=6x=鈭�3

Therefore, the roots are 6 and -3.

04

Step 4. Check the obtained solution.

To check whether the obtained solution is correct or not, substitute 6 for xand -3forx in the given equation and simplify.
role="math" localid="1647953530376" 62鈭�36鈭�18=?036鈭�18鈭�18=?00=0LHS=RHS

role="math" localid="1647953536208" 鈭�32鈭�3鈭�3鈭�18=?09+9鈭�18=?00=0LHS=RHS

Therefore, the obtained solution is correct.

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Most popular questions from this chapter

Factor each monomial completely.

35ab4

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Solve each equation. Check your solutions.

24+x2=10x

Rewrite each expression using the Distributive Property. Then simplify.

nn鈭�3n2+2

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