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OpenStudy (anonymous):
Solve using the quadratic formula
FAN AND MEDAL
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OpenStudy (anonymous):
\[9x^2+3x=1\]
rebeccaxhawaii (rebeccaxhawaii):
oki
OpenStudy (bemoseemo):
ah quadratics... my favorite enemy. lets do this I guess.
OpenStudy (welshfella):
quadratic formula
x = [-b +/- sqrt(b^2-4ac)] / 2a
OpenStudy (welshfella):
- where ax^2 + bx + c = 0
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OpenStudy (welshfella):
first write it in the standard for as above:-
9x^2 + 3x - 1 = 0
now plug a = 9 , b = 3 and c = -1 into the formula
OpenStudy (scoobydo):
Let's solve your equation step-by-step.
9x2+3x=1
Step 1: Subtract 1 from both sides.
9x2+3x−1=1−1
9x2+3x−1=0
Step 2: Use quadratic formula with a=9, b=3, c=-1.
x=
−b±√b2−4ac
2a
x=
−(3)±√(3)2−4(9)(−1)
2(9)
x=
−3±√45
18
x=
−1
6
+
1
6
√5 or x=
−1
6
+
−1
6
√5
Answer:
x=
−1
6
+
1
6
√5 or x=
−1
6
+
−1
6
√5
OpenStudy (bemoseemo):
finished checking work, this is correct.
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