Here c is negative so the quadratic will factor as. Therefore the factored quadratic is and so, and. The two numbers that add to make -5 and multiply to make 6 are -3 and -2.
![solve a quadratic equation using square roots solve a quadratic equation using square roots](https://i.ytimg.com/vi/6XzDQuj9dJk/maxresdefault.jpg)
![solve a quadratic equation using square roots solve a quadratic equation using square roots](https://i.ytimg.com/vi/Nr_ZGfKZ3NI/maxresdefault.jpg)
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.
![solve a quadratic equation using square roots solve a quadratic equation using square roots](https://s3.amazonaws.com/ck12bg.ck12.org/curriculum/107150/thumb_540_50.jpg)
This simple type of quadratic equation can be identified as there is only an □ 2 and constant term in the equation. If a quadratic equation is of the form □ 2 =k, square root both sides. How to Solve Quadratic Equations using Square Roots Īll quadratic equations can be solved using the quadratic formula so this method will always work for solving quadratic equations. If the quadratic cannot be factorised, use the quadratic formula.If the quadratic cannot be factorised, complete the square and solve.If the quadratic contains an □ 2 coefficient greater than 1, try to split the □ term and factorise by grouping.Solve by setting each factor to equal zero. Try to factorise by finding two numbers that add to make the coefficient of □ and multiply to make the constant term.
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If the quadratic only contains □ 2 and □ terms, factorise the □ out and solve.If □ 2 equals a number, square root both sides of the equation to solve it.Here is a list of the methods that can be used to solve quadratic equations: If the quadratic has an □ 2 coefficient greater than 1 or cannot be factorised, the quadratic formula can be used: