Solve the equation for all values of x by completing the square. 3x^2-60x+255=0
1 answer:
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Answer: (a) -7 (b) (c)
(d) 4
Step-by-step explanation:
A) f(x) = 2x - 3 when x is between -5 and -2 (including -5 and -2)
B) f(x) = x² when x is between -2 and 2 (including 2)
C) when x is between 2 and 5 (including 5)
a) Equation A includes x = -2
f(x) = 2x - 3
f(-2) = 2(-2) - 3
= -4 - 3
= -7
b) Equation B includes x =
f(x) = x²
c) Equation C includes x = 4
d) Try each equation to see if x falls within the values given.
A) f(x) = 2x - 3
-2.5 = 2x - 3
0.5 = 2x
0.25 = x NOT VALID since x should be between -5 and -2
B) f(x) = x²
-2.5 = x²
NOT VALID since x cannot be an imaginary number
C)
VALID since x is between 2 and 5