How do I solve [tex]3.2x + 0.2x^2 - 5 = 0[/tex]?

To solve the quadratic equation 3.2x + 0.2x^2 - 5 = 0, we first rearrange it into standard form ax^2 + bx + c = 0. After rearranging, the equation becomes 0.2x^2 + 3.2x - 5 = 0. We can then apply the quadratic formula:
x = √(b^2 - 4ac) / 2a
In this case, a = 0.2 , b = 3.2 , and c = -5 . Substituting these values into the formula gives us two possible values for x. This is a standard approach for solving quadratic equations when they cannot be factored easily.
Using the quadratic formula is recommended for solving this kind of equation due to its reliability in providing solutions for any quadratic equation, regardless of the term arrangements or coefficients' complexity.

Answered by JeffBridges | 2024-06-24

To solve the equation 3.2 x + 0.2 x 2 − 5 = 0 , we first rearrange it to standard form and identify coefficients a, b, and c. Then, using the quadratic formula, we calculate the solutions, resulting in x ≈ 1.43 and x ≈ − 19.93 .
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Answered by JeffBridges | 2024-12-16