Mathematics
Joelgarcia132
17

what multiplies to 6 but adds to 17

+1
(2) Answers
Meigeni

The answer is -4 and 21 I am glad to help!

Speedy03

You can write this line as the system: x + y = 17 xy = 6 To solve it, you first need to get the proper value of either x or y. In this case i choose to get the value of x: x + y = 17 x = 17-y With this, i an input the value into the second line: (17-y)y = 6 17y-y^2=6 -y^2+17y-6=0 can be solved with the quadratic formula. y = (-17 +/- sqrt(-17^2 - 4*-1*-6))/2*-1 y = (-17 +/- sqrt(289 - 24)/-2 The square root is 16.28 y = (-17 +/- 16,28)/-2 y_1 = (-17 + 16.28)/-2 = 0,36 y_2 = (-17 - 16.28)/-2 = 16,64 To skip the work ahead of us, x_1 and x_2 will end up with the exact same numbers, as we could multiply both ways. The numbers are ca. 0,36 and 16,64 0,36+16,64 = 17 0,36*16,64 = 5,999997 = ca. 6 Sorry for the small amount of rounding, but i hope this works.

Add answer