To solve a quadratic equation with a leading coefficient greater than 1, use the quadratic formula or factorise and solve. How to Solve Quadratic Equations with a Coefficient of □ 2 Greater than 1 These quadratics will factor in the form which can be solved by setting each bracket equal to zero.įor example, solve using the difference of two squares. The difference of two squares can also be used to solve quadratics of the form. Therefore this can be factored as and setting each bracket equal to zero to solve, and. To identify the difference of two squares, the quadratic should be made up of two terms separated by a minus sign.įor the quadratic, this is the same as. Quadratic equations of the form can be solved using the difference of two squares method. Therefore the solutions are □=a and □=-a. How to Solve Quadratic Equations with Difference of Two SquaresĪny quadratic equation of the form □ 2-a 2=0 can be factored as (□+a)(□-a)=0 using the difference of two squares. Therefore the factored quadratic is and so, and. The two numbers that add to make -3 and multiply to make -10 are 2 and -5. Therefore the factored quadratic is and so, or. The two numbers that add to make 2 and multiply to make -3 are 3 and -1. Here c is negative so the quadratic will factor as. The two numbers that add to make -5 and multiply to make 6 are -3 and -2. Here, c is positive and b is negative so the quadratic will factor as. Therefore, the factored quadratic is and so, and. The two numbers that add to make 6 and multiply to make 8 are 4 and 2. Since b and c are positive, the quadratic will factor as. Here are some examples of solving quadratic equations by factoring. It is easier to factorise quadratics if you know what signs to expect in the brackets.
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