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Answers
(a) x=2 or x=-4
Step 1: Simplify both sides of the equation.
x2+2x+1=9
Step 2: Subtract 9 from both sides.
x2+2x+1−9=9−9
x2+2x−8=0
Step 3: Factor left side of equation.
(x−2)(x+4)=0
Step 4: Set factors equal to 0.
x−2=0 or x+4=0
x=2 or x=−4
(b) x= 3 /2 or x= −5 /2
Step 1: Simplify both sides of the equation.
4x2+4x+1=16
Step 2: Subtract 16 from both sides.
4x2+4x+1−16=16−16
4x2+4x−15=0
Step 3: Factor left side of equation.
(2x−3)(2x+5)=0
Step 4: Set factors equal to 0.
2x−3=0 or 2x+5=0
x= 3 /2 or x= −5 /2
(c) 13/5 or -1
Step 1: Simplify both sides of the equation.
25x2−40x+16=81
Step 2: Subtract 81 from both sides.
25x2−40x+16−81=81−81
25x2−40x−65=0
Step 3: Factor left side of equation.
5(5x−13)(x+1)=0
Step 4: Set factors equal to 0.
5x−13=0 or x+1=0
x= 13 /5 or x=−1
(d) ...don't know
(e) x=−3+√11 or x=−3−√11 (don't know complete solution too long)
(f) .....don't know
(g) x=5+√7 or x=5−√7
(h) x=1 /2 +√10 or x= 1 /2 −√10
Answer:
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