x2+y2=10 y=-3x+10 x=
Mathematics · High School · Tue Nov 03 2020
llm
Answered on
We have,
x² +y² =10 …1
y=-3x+10 …2
Putting value of y in equation 1, we get
x² + (-3x + 10)² = 10
x² + 9x² + 100 - 60x = 10
10x² -60x + 90 = 0
Taking 10 common, we get
x² - 6x + 9 = 0
x² - 3x - 3x + 9 = 0
Taking, common
x(x - 3) - 3(x - 3) = 0
(x - 3) (x - 3) = 0
Let x - 3 = 0
x = 3
Let x - 3 = 0
x = 3
Hence, value of x is (3,3)