Any other quadratic equation is best solved by using the Quadratic Formula. 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:.
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if \(b^2−4ac=0\), the equation has 1 solution.if \(b^2−4ac>0\), the equation has 2 solutions.Using the Discriminant, \(b^2−4ac\), to Determine the Number of Solutions of a Quadratic Equationįor a quadratic equation of the form \(ax^2+bx+c=0\), \(a \ge 0\) ,.©Q D2x0o1S2P iKSuGtRa6 4S1oGf1twwuamrUei 0LjLoCM.W T PAMlcl4 drhisg2hatEsB XrqeQsger KvqeidM.2 v 5M1awdPeZ uwjirtbhi QIxnDftiFn4iOteeE qAwlXg1ezbor9aP u2B.w. Then substitute in the values of a, b, c. Create your own worksheets like this one with Infinite Algebra 2. Write the quadratic formula in standard form.To solve a quadratic equation using the Quadratic Formula. ©h W2y0v1y4 E kK8upt YaO 7S7oJf Mtmwraurvex yL1L 9C A.1 p ZAHlMlX or ciCgBh9t gs8 1rxeMsge r3vHeadk.l Q GMda 3die Q aw1iCt9h a 7I1nof fi Vnli JtFe X 8A ClBg Zegb grla A y1j. Solve a Quadratic Equation Using the Quadratic Formula ©B s2v0v1 R2L 9Kxuft TaP ESsovfFtuwka Zrze p ULiL uC 0.T S jA xltl 5 8rIi hgh1tTsK 4rje WsGexr KvXeZd s.r 6 6M na2d weF vwBi4tah 8 GIjnPf siCnLi3tZeT QAplPgBe3b1r ra 4 E1 K.Quadratic Formula The solutions to a quadratic equation of the form \(ax^2+bx+c=0\), \(a \ge 0\) are given by the formula: ©u W2r0G1Z2 1 nKNuDtHaW sSodfVtBw8aOrle7 uL 3L IC u.N P gAsl Glv 7rViog Bh7t8sW ir 8ejs CeWrRvke Bdm.Y d tM ra ed se0 cw qiPtxhl 1ISnbf ti Anci YtueV dAolwgQembmrKas H1Y.4 Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name Two-Step Equations Date Period Solve each equation.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.
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This last equation is the Quadratic Formula.ĭetermine the number of solutions to each quadratic equation: