Use the quadratic formula to solve. Express your answer in simplest form.4, x, squared, plus, 9, x, minus, 7, equals, 24x 2 +9x−7=2
Question
Use the quadratic formula to solve.
Express your answer in simplest form.
Solution
The equation you've given seems to be a bit confusing. However, if you're trying to solve the quadratic equation 4x^2 + 9x - 7 = 0, you can use the quadratic formula, which is x = [-b ± sqrt(b^2 - 4ac)] / (2a).
Here, a = 4, b = 9, and c = -7.
Step 1: Calculate the discriminant (b^2 - 4ac). Discriminant = (9)^2 - 44(-7) = 81 + 112 = 193
Step 2: Substitute a, b, and the discriminant into the quadratic formula. x = [-9 ± sqrt(193)] / (2*4) x = [-9 ± sqrt(193)] / 8
So, the solutions of the equation are x = [-9 + sqrt(193)] / 8 and x = [-9 - sqrt(193)] / 8.
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