2x2 + 8x + 3 = 0
Does x mean multiply or an unknown?
What is this? 2x2
let's assume you mean
2x^2 + 8x +3 = 0
since it does not factor, let's use the formula
x = (-8 ± √40)/4
= (-8 ± 2√10)/4
= (-4 ± √10)/2
To find the solution to the equation 2x^2 + 8x + 3 = 0, we can use the quadratic formula.
The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 2, b = 8, and c = 3.
Substituting the values into the quadratic formula, we get:
x = (-(8) ± √((8)^2 - 4(2)(3))) / (2(2))
Simplifying further:
x = (-8 ± √(64 - 24)) / 4
x = (-8 ± √40) / 4
Now, we simplify the surd:
x = (-8 ± 2√10) / 4
Finally, we can simplify the expression further:
x = -2 ± √10
Therefore, the solutions to the equation 2x^2 + 8x + 3 = 0 are:
x = -2 +√10, and
x = -2 -√10.