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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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Example

Solve using the quadratic formula: 10 - 5x2 = 6x

Solution

 Step 1 Write the quadratic equation in standard form, ax2 + bx + c = 0. Subtract 6x from both sides of the equation. On the left side, write the terms in decreasing powers of x. Step 2 Identify the values of a, b, and c. 10-5x2 = 6x Step 3 Substitute the values of a, b, and c into the quadratic formula. Step 4 Simplify. Simplify the radical. Factor -2 from the numerator and denominator. Reduce by canceling the common factor, -2 Step 5 Check each solution. We leave the check to you.

The two solutions of 10 - 5x2 = 6x are

Note:

 Hereâ€™s another way to simplify: Factor out 2. Multiply by

(We multiplied by because we do not want a negative sign in the denominator.)