Answer:
1. t^2=81
√t^2=+/-√ 81
t=±9
Solution or Roots: x= 9,-9
Description: Two real roots
2. 3x^2-27=0
3x^2-27=0
3
x^2-9=0
x^2= 9
√x^2= +/-√ 9
x=±3
Solution or Roots: x= 3,-3
3. (x-4)^2=169
x^2-8x+16=169
x^2-8x+16-169=0
x^2-8x-153=0
a=1, b=-8, c=-153.
x= −b±√b2−4ac
2a
x= −(−8)±√(−8)2−4(1)(−153)
2(1)
x= 8±√676
2
x=17 or x=−9
Solution or Roots: x= 17, -9
4. x^2+5=5
x^2+5-5=0
√x^2+=±√0
x= 0
Solution or Roots: x= 0
Description: One real root
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Answers & Comments
Answer:
1. t^2=81
√t^2=+/-√ 81
t=±9
Solution or Roots: x= 9,-9
Description: Two real roots
2. 3x^2-27=0
3x^2-27=0
3
x^2-9=0
x^2= 9
√x^2= +/-√ 9
x=±3
Solution or Roots: x= 3,-3
Description: Two real roots
3. (x-4)^2=169
x^2-8x+16=169
x^2-8x+16-169=0
x^2-8x-153=0
a=1, b=-8, c=-153.
x= −b±√b2−4ac
2a
x= −(−8)±√(−8)2−4(1)(−153)
2(1)
x= 8±√676
2
x=17 or x=−9
Solution or Roots: x= 17, -9
Description: Two real roots
4. x^2+5=5
x^2+5-5=0
√x^2+=±√0
x= 0
Solution or Roots: x= 0
Description: One real root