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poizon [28]
3 years ago
9

The sum of two integers is 21. Fifteen less than double the square of the smaller integer is equal to the larger

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
6 0

Answer:

2x^2+x-36=0

(4,0)

2*4^2+4-15=21

Step-by-step explanation:

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{x}^{2}  -8x + 5 = 0 \\  \\  {x}^{2}  - 8x +  {4}^{2}  =  - 5 +  {4}^{2}  \\  \\  {(x - 4)}^{2}  =  - 5 + 16 \\  \\  {(x - 4)}^{2}  = 11 \\  \\ x - 4 =   \pm \sqrt{11}  \\  \\ x = 4 \pm \sqrt{11}  \\  \\ x = 4 +  \sqrt{11}, \:  \: x = 4 -  \sqrt{11}

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