Question

The Quadratic Formula, x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a, was used to solve the equation 3x2 + 4x − 2 = 0. Fill in the missing denominator of the solution.

negative 2 plus or minus the square root of 10, all over blank

Answer 1

The answer is x=(-2±√10)/3

Explanation:

Answer 2

3

Explanation:

The quadratic formula is used to solve a quadratic equation in standard form, based on the values of the coefficients.

Solution

The standard-form quadratic ax² +bx +c = 0 has solutions given by the quadratic formula:

`x=(-b\pm√(b^2-4ac))/(2a)`

For the quadratic 3x² +4x -2 = 0, we have a=3, b=4, c=-2 and the formula gives ...

`x=(-4\pm√(4^2-4(3)(-2)))/(2(3))=(-4\pm√(16+24))/(6)\\\\x=(-4\pm 2√(10))/(6)=(-2\pm√(10))/(3)`

The denominator in the solution is 3.