SOLUTION: solve using the 5 step problem solving process. Show all work. A number is 72 less than it's square. Find all such numbers.

Algebra.Com
Question 300396: solve using the 5 step problem solving process. Show all work.
A number is 72 less than it's square. Find all such numbers.

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
A number is 72 less than it's square. Find all such numbers.
:
Let x = "a number"
:
x = x^2 - 72
A quadratic equation
0 = x^2 - x - 72
Factors to
(x-9)(x+8) = 0
x = +9
and
x = -8
:
Check both solution in original equation
x=9
9 = 9^2 - 72
9 = 81 - 72
x=-8
-8 = -8^2 - 72
-8 = +64 - 72

RELATED QUESTIONS

solve the problem. use five step problem-solving approach. A number is 30 less than its... (answered by edjones)
solve the problem. Use the five-step problem -solving approach. A number is 42 less than (answered by lynnlo)
Solve using the five-step problem-solving process. Show all steps necessary to arrive at... (answered by mananth)
A number is 72 less than its square. Find all such... (answered by stanbon)
a number is 72 less than its square. Find all such... (answered by mananth)
Solve using the five-step problem-solving process. Show all steps necessary to arrive at... (answered by Fombitz,jrfrunner)
Can some one please help solve this problem asap. Many Thanks! Solve using the... (answered by scott8148)
Solve using the five-step problem-solving process. Show all steps necessary to arrive at... (answered by helpnalgebra)
Solve using the five-step problem-solving process. Show all steps necessary to arrive at... (answered by mananth)