SOLUTION: 1. Solve by factoring: x² – 10x = -16 2. Solve using the square root property: 5x² – 1 = 74 3. Solve using the square root property: (x + 6)² = 121 4. Solve b

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: 1. Solve by factoring: x² – 10x = -16 2. Solve using the square root property: 5x² – 1 = 74 3. Solve using the square root property: (x + 6)² = 121 4. Solve b      Log On


   

Question 65933: 1. Solve by factoring:
x² – 10x = -16

2. Solve using the square root property:
5x² – 1 = 74

3. Solve using the square root property:
(x + 6)² = 121

4. Solve by completing the square:
x² + 10x + 13 = 0

5. Solve using the quadratic formula:
x² – 2x = 5x – 2

6. Solve using the quadratic formula:
x ²– 3x – 3 = -5
thank you very much
Answer by tanimachatterjee(60) About Me  (Show Source):
You can put this solution on YOUR website!
1. Solve by factoring:
x² – 10x = -16
or x2 -10x +16=0
or x2 -8x -2x +16=0 [using middle term breaking formula]
or x(x-8) -2(x-8)=0
or (x-2)(x-8)=0
now either x-2=0
x=2
or x-8=0
x=8
2. Solve using the square root property:
5x² – 1 = 74
or 5x2=74+1=75
or x2=75/5=15
or x=+sqrt(15) or -sqrt(15)
x= 3.87 -3.87
3. Solve using the square root property:
(x + 6)² = 121
or sqrt[(x+6)2]=sqrt(121)
or x+6=+11 or -11
or x=5 or -17
4. Solve by completing the square:
x² + 10x + 13 = 0
or x2 +10x +25 -12=0
or (x+5)2=12
or x+5 =+sqrt(12) or -sqrt(12)
or x=-5+sqrt(12) or -5-sqrt(12)
or x=-5+3.464 or -5-3.464
or x =-1.535 or -8.464
5. Solve using the quadratic formula:
x² – 2x = 5x – 2
or x2-2x -5x+2=0
or x2 -7x +2=0[using the formula x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
here a=1 b=-7 c=2
x=6.7 or 3
6. Solve using the quadratic formula:
x ²– 3x – 3 = -5
or x2 -3x +2=0
[using the formula x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
here a=1 b=-3 c=2
x=2 or 1