You can clearly see the solutions x = -1 and x = 5. 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. Create an XY scatter chart and add a horizontal line (y = 24.5) to the chart. Learn and revise how to solve quadratic equations by factorising, completing the square and using the quadratic formula with Bitesize GCSE Maths Edexcel. Populate column A with multiple x-values and find their corresponding y-values by dragging the formula in cell B2 down.ġ1. Let's visualize the solutions of y = 3x 2 - 12x + 9.5 = 24.5.ġ0. In this case, set 'To value' to 0.īonus! Improve your understanding of quadratic equations by visualizing the solutions on a chart. A quadratic equation is of the form ax2 + bx + c 0, where a, b, and c are real numbers. To find the roots, set y = 0 and solve the quadratic equation 3x 2 - 12x + 9.5 = 0. The Bakhshali Manuscript written in India in the 7th century AD contained an algebraic formula for solving quadratic equations, as well as quadratic indeterminate equations (originally of type ax/c y clarification needed : this is linear, not quadratic). For example, enter the value 0 into cell A2 and repeat steps 5 to 9. Excel finds the other solution (x = -1) if you start with an x-value closer to -1. Click in the 'By changing cell' box and select cell A2. Click in the 'To value' box and type 24.5Ĩ. Improve your math knowledge with free questions in 'Solve a quadratic equation using the quadratic formula' and thousands of other math skills. 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. To use the Quadratic Formula, we substitute the values of a, b, and c from the standard form into the expression on the right side of the formula. We need to solve 3x 2 - 12x + 9.5 = 24.5. The solutions to a quadratic equation of the form ax2 + bx + c 0, where a 0 are given by the formula: x b ± b2 4ac 2a. Plug these coefficients into the quadratic formula. But what if we want to know x for any given y? For example, y = 24.5. To find the coefficients, use the standard form of a quadratic equation: a x 2 + b x + c 0.
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