Question

Show all work to solve 3x² 5x − 2 = 0.

Answer 1

To solve 3x² + 5x - 2 = 0, apply the quadratic formula to find the values of x.

Step-by-step explanation:

To solve the equation 3x² + 5x - 2 = 0 using the quadratic formula, we can first identify the values of a, b, and c from the equation: a = 3, b = 5, and c = -2. Then, substitute these values into the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values, we get:

x = (-5 ± √(5² - 4(3)(-2))) / (2(3))

Simplifying further will give us the two possible solutions for x.

Answer 2

To solve the quadratic equation 3x² + 5x - 2 = 0, we can use the quadratic formula. The solutions to the equation are x = -2/3 or x = 1.

Step-by-step explanation:

To solve the quadratic equation 3x² + 5x - 2 = 0, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions for x can be found using the formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 3, b = 5, and c = -2. Plugging in these values, we get:

x = (-5 ± √(5² - 4(3)(-2))) / (2(3))

Simplifying further, we have:

x = (-5 ± √(25 + 24)) / 6

x = (-5 ± √49) / 6

x = (-5 ± 7) / 6

Therefore, the solutions to the equation are:

x = -2/3 or x = 1