Use the quadratic formula to solve the equation.
–4x2 – 3x + 2 = 0
(1 point)
Responses
-3/8 plus or minus square root 41/8
Image with alt text: -3/8 plus or minus square root 41/8
-8/3 plus or minus square root 82/8
Image with alt text: -8/3 plus or minus square root 82/8
-3/8 plus or minus square root 20/2
Image with alt text: -3/8 plus or minus square root 20/2
-3/4 plus or minus square root 41/4
The correct answer is:
-3/8 plus or minus square root 41/8
To solve the equation -4x^2 - 3x + 2 = 0 using the quadratic formula, we need to find the values of x that satisfy this equation.
The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
For our equation, a = -4, b = -3, and c = 2. Plugging these values into the quadratic formula, we get:
x = (-(-3) ± √((-3)^2 - 4(-4)(2))) / (2(-4))
= (3 ± √(9 + 32)) / (-8)
= (3 ± √41) / (-8)
So the solutions are -3/8 plus or minus the square root of 41/8.
To solve the quadratic equation -4x^2 - 3x + 2 = 0 using the quadratic formula, you need to follow these steps:
Step 1: Identify the coefficients of the quadratic equation. In this case, the coefficients are:
a = -4
b = -3
c = 2
Step 2: Plug the values of a, b, and c into the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Step 3: Substitute the values of a, b, and c into the quadratic formula:
x = (-(-3) ± √((-3)^2 - 4(-4)(2))) / (2(-4))
Simplifying further:
x = (3 ± √(9 + 32)) / (-8)
x = (3 ± √41) / (-8)
So the solutions to the equation -4x^2 - 3x + 2 = 0 using the quadratic formula are:
x = (-3 ± √41) / 8