a quadratic equation in the form $$ x^{2}+b x+c=0 $$ that has the $$ \text { Roots: }\{7,-5\} $$

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The quadratic equation is $$ x^{2} + 2x - 35 = 0 $$. To find the quadratic equation in the form $$ x^{2}+bx+c=0 $$ with roots 7 and -5, we can use the fact that the sum of the roots of a quadratic equation is equal to the negative coefficient of the linear term, and the product of the roots is equal to the constant term. Given roots: 7 and -5 1. Sum of the roots: $$ 7 + (-5) = 2 $$ 2. Product of the roots: $$ 7 \times (-5) = -35 $$ Therefore, the quadratic equation with roots 7 and -5 is: $$ x^{2} + 2x - 35 = 0 $$

a quadratic equation in the form \( x^{2}+b x+c=0 \) that has the \[ \text { Roots: }\{7,-5\} \]

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a quadratic equation in the form \( x^{2}+b x+c=0 \) that has the \[ \text { Roots: }\{7,-5\} \]

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