Use the quadratic formula to solve. Express your answer in simplest form.6, c, squared, minus, c, minus, 15, equals, 06c 2 −c−15=0
Question
Use the quadratic formula to solve. Express your answer in simplest form.6, c, squared, minus, c, minus, 15, equals, 06c 2 −c−15=0
Solution
The quadratic formula is used to solve equations of the form ax^2 + bx + c = 0. The formula is x = [-b ± sqrt(b^2 - 4ac)] / (2a).
In this case, the equation is 6c^2 - c - 15 = 0. So, a = 6, b = -1, and c = -15.
First, calculate the value under the square root in the quadratic formula, which is b^2 - 4ac.
= (-1)^2 - 46(-15) = 1 + 360 = 361
Then, substitute a, b, and c into the quadratic formula to find the solutions for c.
c = [1 ± sqrt(361)] / (2*6) c = [1 ± 19] / 12
So, the solutions are c = 20/12 = 5/3 and c = -18/12 = -3/2.
Similar Questions
Solve the equation for all real solutions in simplest form.2, c, squared, minus, 5, c, minus, 14, equals, minus, 52c 2 −5c−14=−5
Use the quadratic formula to solve. Express your answer in simplest form.6, x, squared, minus, 5, x, minus, 2, equals, minus, 6, x, squared6x 2 −5x−2=−6x 2
Use the quadratic formula to solve. Express your answer in simplest form.6, w, squared, plus, w, minus, 15, equals, 06w 2 +w−15=0
Use the quadratic formula to solve. Express your answer in simplest form.5, c, squared, plus, 12, c, plus, 4, equals, 05c 2 +12c+4=0
Solve the equation x, squared, minus, 15, x, minus, 39, equals, minus, 30x 2 −15x−39=−30 to the nearest tenth.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.