Question

What will be the nature of solution 2x square +4x-7=0

Answer 1

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What will be the nature of solution:-

$2x²+4x-7=0$

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$discriminant = {b}^{2} - 4ac$

$a = 2 \\ b = 4 \\ c = - 7$

${b}^{2} - 4ac = {(4)}^{2} - 4(2)( - 7)$

${b}^{2} - 4ac = 16 + 56$

${\boxed {\boxed {{b}^{2} - 4ac = 72}}}$

${\boxed {\boxed {{b}^{2} - 4ac>0}}}$

$discriminant \: is \: greater \: than = 0$

$nature \: of \: the \: equation \: is :- \\ real \: and \: distinct$

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