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Answer:
x = 3/2
Step-by-step explanation:
Solve for x over the real numbers:
(5 x^2 - 4 x + 6) (3 - 2 x) = 0
Split into two equations:
3 - 2 x = 0 or 5 x^2 - 4 x + 6 = 0
Multiply both sides by -1:
2 x - 3 = 0 or 5 x^2 - 4 x + 6 = 0
Add 3 to both sides:
2 x = 3 or 5 x^2 - 4 x + 6 = 0
Divide both sides by 2:
x = 3/2 or 5 x^2 - 4 x + 6 = 0
Divide both sides by 5:
x = 3/2 or x^2 - (4 x)/5 + 6/5 = 0
Subtract 6/5 from both sides:
x = 3/2 or x^2 - (4 x)/5 = -6/5
Add 4/25 to both sides:
x = 3/2 or x^2 - (4 x)/5 + 4/25 = -26/25
Write the left hand side as a square:
x = 3/2 or (x - 2/5)^2 = -26/25
(x - 2/5)^2 = -26/25 has no solution since for all x on the real line, (x - 2/5)^2 >=0 and -26/25<0:
Answer: x = 3/2
Answer:
your answer would be 3/10.
Step-by-step explanation:
you divide both 9/30 by 3
Answer:
Y=×^2-9
Step-by-step explanation:
(X+0)^2-9
Use the vertex form, y=a(x-h)^2+k
a=1
h=0
k=-9
And because the parabola opens up the vertex is (0,-9)
The distance from the vertex to a focus of the parabola by using the __ 1/4a__ formula:
1/4(1)
1/4
(h,k+p)
(0,-35/4)
Answer:
-4/2 or -2/1
Step-by-step explanation:
the second answer is just simplified