Question

find quadratic equation whose roots are 7+-25​

Answer 1

Answer:

the quadratic equation is x²+18x-175

Step-by-step explanation:

$\alpha + \beta = 7 + ( - 25) = - 18 \\ \alpha \beta = 7( - 25) = - 175 \\ k( {x }^{2} - ( \alpha + \beta )x + \alpha \beta ) \\ k( {x}^{2} + 18x - 175) \\ here \: k = 1 \: then \\ {x}^{2} + 18x - 175$

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