Solve the equation 7y2+30y+8=0.
Question
Solve the equation 7y2+30y+8=0.
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Solution
This is a quadratic equation in the form of ax^2 + bx + c = 0. The general solution for such equations is given by the quadratic formula: y = [-b ± sqrt(b^2 - 4ac)] / (2a).
Here, a = 7, b = 30, and c = 8.
Step 1: Calculate the discriminant, which is b^2 - 4ac. Discriminant = (30)^2 - 478 = 900 - 224 = 676.
Step 2: Substitute a, b, and the discriminant into the quadratic formula to find the solutions.
y = [-30 ± sqrt(676)] / (2*7) y = [-30 ± 26] / 14
So, the solutions are y = -4/14 = -2/7 and y = -56/14 = -4.
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