It is based on a right triangle, and states the relationship among the lengths of the sides as \(a^2+b^2=c^2\), where \(a\) and \(b\) refer to the legs of a right triangle adjacent to the \(90°\) angle, and \(c\) refers to the hypotenuse. One of the most famous formulas in mathematics is the Pythagorean Theorem. Step 1) Two numbers that multiply to give -30 and add to give 1 are 6 and -5.\nonumber \] Step 3) We factor the first two terms and write the second two terms separately: Step 1) We have to find two numbers whose product is 9 and whose sum is 6. Step 4) We factor the equation and solve: Step 3) We factor the first two terms and the second two terms separately: Step 2) We rewrite the quadratic equation as: Step 1) We look for two numbers whose product is 63 and whose sum is -16. Step 4) Factor the common term and set different factors equal to zero and solve for the variable. Step 3) Factor the first two terms and the second two terms separately. The coefficients of the two terms are the two numbers found in Step 1). Step 2) Write the middle term, bx, as the sum of two terms. Step 1) Find two numbers whose product is equal to a c, and whose sum is equal to b. In order to factor a quadratic equation, one has to perform the following steps: A general quadratic equation is given by:
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