Use the quadratic formula to solve 4x 2 = 11x – 5.The solution is:
Question
Use the quadratic formula to solve 4x 2 = 11x – 5.The solution is:
Solution
The given equation is 4x^2 = 11x - 5.
First, we need to rearrange the equation in the standard quadratic form ax^2 + bx + c = 0.
So, the equation becomes 4x^2 - 11x + 5 = 0.
Here, a = 4, b = -11, and c = 5.
The quadratic formula is given by x = [-b ± sqrt(b^2 - 4ac)] / (2a).
Substituting the values of a, b, and c into the formula, we get:
x = [11 ± sqrt((-11)^2 - 445)] / (2*4) x = [11 ± sqrt(121 - 80)] / 8 x = [11 ± sqrt(41)] / 8
So, the solutions of the equation 4x^2 = 11x - 5 are x = [11 + sqrt(41)] / 8 and x = [11 - sqrt(41)] / 8.
Similar Questions
Solve the equation 5, x, squared, minus, 11, x, plus, 4, equals, 05x 2 −11x+4=0 to the nearest tenth.
What would be the most logical first step for solving this quadratic equation?x2 + 2x - 11 = 4A.Divide both sides by xB.Subtract 4 from both sidesC.Take the square root of both sidesD.Add 11 to both sidesSUBMITarrow_backPREVIOUS
Solve 1x − 11x + = 4Give your answer in the form a ± b 2 where a and b are fractions........................................................(Total for Question 19 is 5 marks)
x2 − 3x + 12(x2 − 4x + 11)2 dx
The standard form of the equation of a parabola is y = x2 + 4x + 11.What is the vertex form of the equation?
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.