x = -4, so use the first equation, x^2 = -4^2 = -16
x = 4, use 3rd equation, sqrt(x) = sqrt(4) = 2
Answer:
x=2
Step-by-step explanation:
3^2x = 81
3^2x = 3^4
Compare powers
2x = 4
x = 2
Answer:
f(6) = 24
Step-by-step explanation:
f(x) = x^2 - 2x
Let x = 6
f(6) = 6^2 - 2(6)
= 36 - 12
= 24
<h3>
Answer: x = (
y-2)^2 +
5</h3>
In other words, y-2 goes in the first box and 5 goes in the second box.
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Work Shown:
y^2 - 4y - x + 9 = 0
y^2 - 4y + 9 = x
x = y^2 - 4y + 9
x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5
x = (y^2-4y+4) + 5
x = (y-2)^2 + 5 .... apply the perfect square factoring rule
So we'll have y-2 go in the first box and 5 goes in the second box
note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.