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Sagot :
Answer:
1. A
2. A
Step-by-step explanation:
Question 1
1 Factor out the common term 2.
2(x^2+6x+9)=0
2 Rewrite x^2+6x+9 in the form a^2+2ab+b^2a, where a=x and b=3.
2(x^2+2(x)(3)+3^2)=0
3 Use Square of Sum: (a+b)^2=a^2+2ab+b^2(a+b).
2(x+3)^2=0
4 Divide both sides by 2.
(x+3)^2=0
5 Take the square root of both sides.
x+3=0
6 Subtract 3 from both sides.
x=-3
Question 2
1 Move all terms to one side.
2r^2-5r-3=0
2 Split the second term in 2r^2-5r-3 into two terms.
2r^2+r-6r-3=0
3 Factor out common terms in the first two terms, then in the last two terms.
r(2r+1)-3(2r+1)=0
4 Factor out the common term 2r+1.
(2r+1)(r-3)=0
5 Solve for r.
r=-1/2,3
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