4xsquared - 7x - 2 = 0 Solve the quadratic function
4x^2-7x-2=0 (4x+1)(x-2)
ssoooooo basically there are 2 answers for x......x=-1/4 or -.25 and.....x=2
To solve the quadratic function 4x^2 - 7x - 2 = 0, we can use the quadratic formula. The quadratic formula is used to find the values of x that satisfy a quadratic equation in the form ax^2 + bx + c = 0, where a, b, and c are coefficients.
The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
In our case, the coefficients are:
a = 4
b = -7
c = -2
Now, let's substitute these values into the formula and solve for x:
x = (-(-7) ± √((-7)^2 - 4 * 4 * (-2))) / (2 * 4)
x = (7 ± √(49 + 32)) / 8
x = (7 ± √81) / 8
Taking the square root of 81 gives us two possible values for x:
x = (7 + 9) / 8
x = 16 / 8
x = 2
x = (7 - 9) / 8
x = -2 / 8
x = -1/4
Therefore, the solutions to the quadratic function 4x^2 - 7x - 2 = 0 are x = 2 and x = -1/4.