Directions: Solve the following quadratic equations by extracting the square roots.
with solution
1. x² = 16
2. r² – 100 = 0
3. s² = 64
4. r² = 18
5. x² - 144 = 0
6. x² = 50
7. t² - 12 = 0
8. c² - 32 = 0
9. (k + 7)² = 81
10. (x-4)² = 169
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Step-by-step explanation:
1. x² = 16
x= ± 4
x= + 4
x= - 4
x= -4, 4
2.r² - 100=0
r= 100
r=±10
r²= -10
r²= 10
r² = -10, 10
3.s²=64
s=±8
s= -8
s= 8
s= -8, 8
4.r² =18
r=±4
r= -4
r²= 4
r= -4, 4
5.x² - 144=0
x² = 144
x=±12
x= -12
x= 12
x= -12, 12
6.x²= 50
x= ±5√2
x= - 5√2
x= 5√2
x= -5√2, 5√2
7.t²-12=0
t²=12
t = ± 2√3
t= -2√3
t= 2√3
t= -2√3, 2√3
8.c²-32=0
c²=32
c = ± 4√2
c = -4√2
c = 4√2
c = -4√2, 4√2
9.(K+7)²=81
k+7=±9
k+7=-9
k+7=9
k = - 16
k = 2
k=-16, 2
10.(x-4)²=169
x - 4 = ± 13
x-4 =-13
x-4 = 13
x=-9
x=17
x=-9, 17