Problem

Find the quadratic equation whose solutions are 2 and −3.

Answer

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Answer

Expand the equation to get the quadratic equation: x2+x−6=0

Steps

Step 1 ：If the solutions of a quadratic equation are x1 and x2, then the quadratic equation can be expressed as (x−x1)(x−x2)=0

Step 2 ：Substitute x1=2 and x2=−3 into the equation, we get: (x−2)(x−(−3))=0

Step 3 ：Expand the equation to get the quadratic equation: x2+x−6=0

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