x+y = 37
x^2+y^2 = 765.5
x^2+(37-x)^2 = 765.5
2x^2 - 74x + 603.5
x^2 - 37x + 301.75 = 0
x = (37±9√2)/2
x = 12.1, 24.8
Hmmm. I don't get their answers either, but I'm a lot closer than you.
What did you do?
The sum of two numbers is 37. The sum of their squares is 756.5. Find the two numbers
The answers are 12.5 and 24.5. But I keep getting 44.69 and -7.69
3 answers
I tried the same thing and then I used the quadratic equation
guys i figured it out after like 7 years
let x = bigger # and let y = smaller #
(1) x + y = 37 (2) x^2 + y^2 = 756.5
isolate 1.. y = -x +37.. and sub into 2
x^2 + (-x+37)^2 = 756.5
expand the bracket (it had a square so you write it twice) and FOIL
x^2 + x^2 -74x +1369 = 756.5
move the 756.5 onto other side of equation and change sign, then group like terms
2x^2 -74x +612.5
GCF
2(x^2 -37x+306.25)
factors that multiple to c and add to b
2(x^2 -12.5x -24.5x + 306.25)
2(x-12.5)(x-24.5)
out if bracket it is 12.5 and 24.5. if u wanna check plug these back into 1 and 2 equation stated above and thats it 😍
let x = bigger # and let y = smaller #
(1) x + y = 37 (2) x^2 + y^2 = 756.5
isolate 1.. y = -x +37.. and sub into 2
x^2 + (-x+37)^2 = 756.5
expand the bracket (it had a square so you write it twice) and FOIL
x^2 + x^2 -74x +1369 = 756.5
move the 756.5 onto other side of equation and change sign, then group like terms
2x^2 -74x +612.5
GCF
2(x^2 -37x+306.25)
factors that multiple to c and add to b
2(x^2 -12.5x -24.5x + 306.25)
2(x-12.5)(x-24.5)
out if bracket it is 12.5 and 24.5. if u wanna check plug these back into 1 and 2 equation stated above and thats it 😍
1 answer