X2-31-2x=-6-3x2+5x
Solve the giving equation using quadratic formula
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Answer:
Step-by-step explanation:
x
2
−
31
−
2
x
=
−
6
−
3
x
2
−
2
x
Move all terms to the left side of the equation and simplify.
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Move all the expressions to the left side of the equation.
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x
2
−
31
−
2
x
+
6
+
3
x
2
+
2
x
=
0
Simplify
x
2
−
31
−
2
x
+
6
+
3
x
2
+
2
x
.
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4
x
2
−
25
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
4
,
b
=
0
, and
c
=
−
25
into the quadratic formula and solve for
x
.
0
±
√
0
2
−
4
⋅
(
4
⋅
−
25
)
2
⋅
4
Simplify.
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x
=
±
5
2
The final answer is the combination of both solutions.
x
=
5
2
,
−
5
2
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