Asked by Lily
when the square of a number is increased by 10, the result is seven times the original number. find the number
Answers
Answered by
Bosnian
x ^ 2 + 10 = 7 x Subtract 7 x to both sides
x ^ 2 + 10 - 7 x = 7 x - 7 x
x ^ 2 - 7 x + 10 = 0
Now you must solve this quadratic equation.
The solutions are :
x = 2 and x = 5
Proof :
2 ^ 2 + 10 = 4 + 10 = 14 = 7 * 2
5 ^ 2 + 10 = 25 + 10 = 35 = 7 * 5
x ^ 2 + 10 - 7 x = 7 x - 7 x
x ^ 2 - 7 x + 10 = 0
Now you must solve this quadratic equation.
The solutions are :
x = 2 and x = 5
Proof :
2 ^ 2 + 10 = 4 + 10 = 14 = 7 * 2
5 ^ 2 + 10 = 25 + 10 = 35 = 7 * 5
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