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nevsk [136]
2 years ago
14

What two numbers multiply to -52 and add up to 24

Mathematics
2 answers:
harkovskaia [24]2 years ago
8 0

Answer:

-2 and 26

Step-by-step explanation:

Multiply to -52:

-2 * 26= -52

Add to 24

-2+26= 24

Vilka [71]2 years ago
4 0

Answer:

The two numbers are 26 and -2

Step-by-step explanation:

let \: we \: take \: the \: two \: numbers \: as \:  \alpha  \: and \beta  \\ by \: the \: given \: data \\  \alpha  \beta  =  - 52 \: and \:  \ \:  \alpha +  \beta  = 24 \\ a \: quadratic \: equation \: is \: in \: the \: form \: of \\  {x}^{2}  - ( \alpha   + \beta )x +  \alpha  \beta  = 0 \\ o n\: substituting \: the \: values \\  {x}^{2}  - (24)x - 52 = 0 \\  {x}^{2}  - 24x - 52 = 0 \\ by \: factorization \\ (x - 26)(x + 2) = 0 \\ x = 26 \: and \: x =  - 2

<em>HAVE A NICE DAY</em><em>!</em>

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