Final answer:
To solve for x in a quadratic equation, use the quadratic formula, which is x = (-b ± √(b²-4ac))/(2a). The quadratic formula is used to find two possible values for x by substituting the coefficients of the quadratic equation into the formula.
Step-by-step explanation:
To solve the quadratic equation ax²+bx+c = 0 for x, we can use the quadratic formula, which is x = (-b ± √(b²-4ac))/(2a). Here, a, b, and c are constants that represent the coefficients of the terms in the quadratic equation.
Quadratic Formula Application
For example, given the quadratic equation x² + 0.0211x - 0.0211 = 0, we identify a = 1.00, b = 0.0211, and c = -0.0211. Applying the quadratic formula, we calculate:
x = (-0.0211 ± √(0.0211² - 4∗1∗-0.0211))/(2∗1)
Which yields two solutions for x. These steps are applicable to any quadratic equation including other examples like x² + 1.2 x 10⁻²x - 6.0 × 10⁻³ = 0 or any others in the same form.