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Sagot :
Answer:
x =5.5
Step-by-step explanation:
The directions say to use x for the number.
"take 10 away from"
x - 10
"then square the result"
(x - 10)^2
"I get the same answer" means the two expressions will be equal to each other.
"if I square my number"
x^2
"then subtract 10 from the result"
x^2 - 10
SET EQUAL TO EACH OTHER.
(x - 10)^2 = x^2 -10
Multiply on the left side.
x^2-20x+100 =x^2-10
subtract x^2 from both sides.
-20x + 100 = -10
subtract 100.
-20x = -110
divide by -20
x = 11/2 or 5.5
CHECK:
(5.5-10)^2=20.25
5.5^2 - 10=20.25
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