Solve using the quadratic formula FAN AND MEDAL
\[9x^2+3x=1\]
oki
ah quadratics... my favorite enemy. lets do this I guess.
quadratic formula x = [-b +/- sqrt(b^2-4ac)] / 2a
- where ax^2 + bx + c = 0
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
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
finished checking work, this is correct.
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