Solve the simultaneous equations x^2 + y^2 = 9 and y = 3x + 3
y2 = (3x + 3)2 = 9x2 + 18x + 9
x2 + 9x2 + 18x + 9 = 9
10x2 + 18x = 0 (root a: x = 0)
5x + 9 = 0 (root b: x = -1.8)
For x = 0, y = 3(0) + 3 (root a: y = 3)
For x = -1.8, y = 3(-1.8) + 3 (root b: y = -2.4)
Solutions at (0, 3) and (-1.8, -2.4)
AR
Related Maths GCSE answers
All answers ▸How do I work out the exact value of a number which is expressed as an indice, for example 81^-1/4
In a school, there is a total of 640 children. The ratio of Girls to boys is 7:9. How many boys are there in this school?
Please sketch and factorize the quadratic 3x^2+10x+3.
A level - Find the coordinates of the stationary point of the curve with equation : (x+y-2)^2 + e^y -1