Select the solutions to this quadratic equation: x^2-6x+8=0
3 answers
The solutions to the quadratic equation x^2-6x+8=0 are x=2 and x=4.
are those all the possible answers for the equation
No, in fact those answers are not correct. Let's find the correct solutions.
To solve the quadratic equation x^2 - 6x + 8 = 0, we can either factorize the equation or use the quadratic formula.
1. Factorizing the equation:
(x - 4)(x - 2) = 0
Setting each factor to zero and solving for x:
x - 4 = 0 or x - 2 = 0
x = 4 or x = 2
The correct solutions are x = 4 and x = 2.
2. Using the quadratic formula:
The quadratic formula is given by:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
In this case, a = 1, b = -6, and c = 8.
Plugging these values into the formula:
x = [6 ± sqrt((-6)^2 - 4*1*8)] / 2*1
x = [6 ± sqrt(36 - 32)] / 2
x = [6 ± sqrt(4)] / 2
x = [6 ± 2] / 2
This gives two possible solutions:
x = (6 + 2) / 2 = 8 / 2 = 4
x = (6 - 2) / 2 = 4 / 2 = 2
Therefore, the correct solutions to the quadratic equation x^2 - 6x + 8 = 0 are x = 4 and x = 2.
To solve the quadratic equation x^2 - 6x + 8 = 0, we can either factorize the equation or use the quadratic formula.
1. Factorizing the equation:
(x - 4)(x - 2) = 0
Setting each factor to zero and solving for x:
x - 4 = 0 or x - 2 = 0
x = 4 or x = 2
The correct solutions are x = 4 and x = 2.
2. Using the quadratic formula:
The quadratic formula is given by:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
In this case, a = 1, b = -6, and c = 8.
Plugging these values into the formula:
x = [6 ± sqrt((-6)^2 - 4*1*8)] / 2*1
x = [6 ± sqrt(36 - 32)] / 2
x = [6 ± sqrt(4)] / 2
x = [6 ± 2] / 2
This gives two possible solutions:
x = (6 + 2) / 2 = 8 / 2 = 4
x = (6 - 2) / 2 = 4 / 2 = 2
Therefore, the correct solutions to the quadratic equation x^2 - 6x + 8 = 0 are x = 4 and x = 2.
1 answer