Any other quadratic equation is best solved by using the Quadratic Formula.
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If the equation fits the form \(ax^2=k\) or \(a(x−h)^2=k\), it can easily be solved by using the Square Root Property. If the quadratic factors easily this method is very quick. To identify the most appropriate method to solve a quadratic equation:.if \(b^2−4acif \(b^2−4ac=0\), the equation has 1 solution.if \(b^2−4ac>0\), the equation has 2 solutions. P 1 iMzaHd5eK HwSiItBh8 UIrnnf nirnoibtce e 3AelYgverbBr ia9 n2 y.i Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name Vertex Form of Parabolas Date Period Use the information provided to write the vertex form equation of each parabola.Using the Discriminant, \(b^2−4ac\), to Determine the Number of Solutions of a Quadratic Equationįor a quadratic equation of the form \(ax^2+bx+c=0\), \(a \ge 0\) ,.Then substitute in the values of a, b, c. Write the quadratic formula in standard form.To solve a quadratic equation using the Quadratic Formula. Solve a Quadratic Equation Using the Quadratic Formula.Quadratic Formula The solutions to a quadratic equation of the form \(ax^2+bx+c=0\), \(a \ge 0\) are given by the formula:.
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The equation is in standard form, identify a, b, c.īecause the discriminant is negative, there are no real solutions to the equation.īecause the discriminant is positive, there are two solutions to the equation.īecause the discriminant is 0, there is one solution to the equation. XAalflg 5rieguhwtGsf OrVe8sDetrjv 0eidy.H n PMta 3dSea jwoiLtfhS nIknYf7ign4iitbe0 CAXllg ce1b8rRa4 S2G.T Worksheet by Kuta Software LLC Answers to Solving Quadratic Equations Practice 2 (ID: 1) 1), 2), 3) i, i 4), 5), 6) i, i 7). This last equation is the Quadratic Formula.ĭetermine the number of solutions to each quadratic equation: Solve each equation with the quadratic formula.