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You can clearly see the solutions x = -1 and x = 5. Here are some examples illustrating how to ask about finding roots of quadratic equations. To avoid ambiguous queries, make sure to use parentheses where necessary. If you're interested, you can download the accompanying Excel file.Įxplanation: the points where the curve intersects the horizontal line represent the solutions to the quadratic equation for the given y-value. The fourth method of solving a quadratic equation is by using the quadratic formula, a formula that will solve all quadratic equations. Quadratic formula Tips for entering queries. Create an XY scatter chart and add a horizontal line (y = 24.5) to the chart. x2+10x-25 solve the equation using the quadratic formula. Populate column A with multiple x-values and find their corresponding y-values by dragging the formula in cell B2 down.ġ1. Click here to get an answer to your question solve the equation using the quadratic formula. By the end of the You Try set, you may have been wondering ‘isn’t there an easier way to do this’ The answer is ‘yes’. When we solved quadratic equations in the last section by completing the square, we took the same steps every time. Let's visualize the solutions of y = 3x 2 - 12x + 9.5 = 24.5.ġ0. Solving Quadratic Equations Using the Quadratic Formula. In this case, set 'To value' to 0.īonus! Improve your understanding of quadratic equations by visualizing the solutions on a chart. To find the roots, set y = 0 and solve the quadratic equation 3x 2 - 12x + 9.5 = 0. For example, enter the value 0 into cell A2 and repeat steps 5 to 9. Substitute the values a 1 a 1, b 6 b - 6, and c 9 c - 9 into the quadratic formula and solve for x x. Use the quadratic formula to find the solutions. Excel finds the other solution (x = -1) if you start with an x-value closer to -1. Solve Using the Quadratic Formula x2-6x-90. Click in the 'By changing cell' box and select cell A2. Learn how to use the quadratic formula with examples, videos and step-by-step solutions. Click in the 'To value' box and type 24.5Ĩ. If you are wanting simpler versions of the quadratic formula, then here are a few thoughts. Solve equations of the form a x 2 + b x + c 0 using the quadratic formula: x b b 2 4 a c 2 a. On the Data tab, in the Forecast group, click What-If Analysis.ħ. You can use Excel's Goal Seek feature to obtain the exact same result. But what if we want to know x for any given y? For example, y = 24.5.