Find the area and round your answer to the nearest hundredth, if needed.

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Ответ:

Chrisis5143

11.01.2021

Mathematics

Xy=-25
x+y=19

use math

x+y=19
minus x both sides
y=19-x
sub that for y

(19-x)x=-25
19x-x²=-25
times -1 both sides
x²-19x=25
minus 25 both sides
x²-19x-25=0

use quadratic formula

for ax²+bx+c=0
x= $\frac{-b+/- \sqrt{b^2-4ac} }{2a}$
a=1
b=-19
c=-25

x= $\frac{-(-19)+/- \sqrt{(-19)^2-4(1)(-25)} }{2(1)}$
x= $\frac{19+/- \sqrt{361+100} }{2}$
x= $\frac{19+/- \sqrt{461} }{2}$

the numbers are
$\frac{19+ \sqrt{461} }{2}$ and $\frac{19- \sqrt{461} }{2}$ or aproximately
-1.235455276792 and 20.235455276792

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Find the area and round your answer to the nearest hundredth, if needed. ​