Answer:
x = 3/2 or x = -5/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 2 x - 15 = 0
Using the quadratic formula, solve for x.
x = (2 ± sqrt((-2)^2 - 4×8 (-15)))/(2×8) = (2 ± sqrt(4 + 480))/16 = (2 ± sqrt(484))/16:
x = (2 + sqrt(484))/16 or x = (2 - sqrt(484))/16
Simplify radicals.
sqrt(484) = sqrt(4×121) = sqrt(2^2×11^2) = 2×11 = 22:
x = (2 + 22)/16 or x = (2 - 22)/16
Evaluate (2 + 22)/16.
(2 + 22)/16 = 24/16 = 3/2:
x = 3/2 or x = (2 - 22)/16
Evaluate (2 - 22)/16.
(2 - 22)/16 = -20/16 = -5/4:
Answer: x = 3/2 or x = -5/4
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Answer:
Step-by-step explanation:f
(
x
)
=
x
4
−
3
,
g
(
x
)
=
4
x
2
+
2
x
−
4
(
f
+
g
)
(
x
)
Distribute the value across the operation.
f
(
x
)
+
g
(
x
)
Evaluate
f
(
x
)
.
Tap for more steps...
x
4
−
3
Evaluate
g
(
x
)
.
Tap for more steps...
4
x
2
+
2
x
−
4
Compose the result function for
f
(
x
)
+
g
(
x
)
by replacing the function designators with the actual functions.
x
4
−
3
+
(
4
x
2
+
2
x
−
4
)
Simplify.
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4
x
2
+
9
x
4
−
7
Answer:
45.7
Step-by-step explanation:
Hello there!
We can calculate the missing angle using trigonometry
here are the trigonometric ratios
sin = opposite over hypotenuse
cos = adjacent over hypotenuse
tan = opposite over adjacent
We are given x's opposite side length (8) and x's adjacent side length (7.8)
we are given the information to use the trigonometric ratio tangent
so now we create an equation (remember tan - opposite over tangent)
now we solve for x
we're left with
finally we want to get rid of the tan
To do so we take the inverse of tan (arctan^-1) and apply it to each side
so x = 45.7252243
finally we round to the nearest tenth and get that the answer is
45.7
