3x^2-6.4x+2.56 what is the value of x
To find the value of x, we can solve the quadratic equation 3x^2 - 6.4x + 2.56 = 0.
Step 1: Identify the coefficients of the equation:
a = 3
b = -6.4
c = 2.56
Step 2: Use the quadratic formula to find the solutions for x:
x = (-b ± √(b^2 - 4ac)) / (2a)
Substituting the values:
x = (-(-6.4) ± √((-6.4)^2 - 4(3)(2.56))) / (2(3))
x = (6.4 ± √(40.96 - 30.72)) / 6
x = (6.4 ± √10.24) / 6
x = (6.4 ± 3.2) / 6
Step 3: Evaluate both solutions:
x1 = (6.4 + 3.2) / 6
x1 = 9.6 / 6
x1 = 1.6
x2 = (6.4 - 3.2) / 6
x2 = 3.2 / 6
x2 = 0.5333
Therefore, the values of x are 1.6 and 0.5333.
To find the value of x in the given quadratic equation 3x^2 - 6.4x + 2.56, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the value of x can be calculated using the formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
For our equation 3x^2 - 6.4x + 2.56, we can see that a = 3, b = -6.4, and c = 2.56. Substituting these values into the quadratic formula, we get:
x = (-(-6.4) ± √((-6.4)^2 - 4 * 3 * 2.56)) / (2 * 3)
Simplifying further:
x = (6.4 ± √(40.96 - 30.72)) / 6
x = (6.4 ± √(10.24)) / 6
Now, we can calculate the two possible values of x by evaluating:
x1 = (6.4 + √10.24) / 6
x2 = (6.4 - √10.24) / 6
Calculating x1:
x1 = (6.4 + 3.2) / 6
x1 = 9.6 / 6
x1 = 1.6
Calculating x2:
x2 = (6.4 - 3.2) / 6
x2 = 3.2 / 6
x2 = 0.5333
Therefore, the value of x derived from the given quadratic equation is x = 1.6 or x = 0.5333.
Are you solving the equation
3x^2-6.4x+2.56 = 0 ?
If so, then a = 3 , b = -6.4 and c = 2.56 in ax^2 + bx + c = 0
use the quadratic equation formula
btw, you will get rational roots.