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Solve algebraically the simulations equations: x^2+y^2=25 and y-3x=13

x 2 +y 2 =25; y-3x=13; x 2 +(13+3x) 2 =25; x 2 +9x 2 +78x+169=25; 10x 2 +78x+144=0; 5x 2 +39x+72=0; (5x+24)(x+3)=0; x=-24/5 and y=-7/5;x=-3 and y=4
NC
Answered by Nadia C. • Maths tutor
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A curve is defined by the parametric equations; x=(t-1)^3, y=3t-8/(t^2), t~=0. Find dy/dx in terms of t.

dy/dx=(dy/dt)*(dt/dx); dy/dt=3+16t -3 ; dx/dt=3(t-1) 2 ; dt/dx=1/3(t-1) 2 ; dy/dx=(3+16t -3 )/3(t-1) 2
NC
Answered by Nadia C. • Maths tutor
4047 Views

Solve the following equation: x^(3) - 6x^(2) + 11x - 6 = 0

x 3 - 6x 2 + 11x - 6 = 0 Let (x-a)(x-b)(x-c) = x 3 - 6x 2 + 11x - 6=> abc = -6 and a + b + c = -6 From abc=-6, find the possibilities of their values: (1,2,-3), (1,-2,3), (-1,2,3), (-1,-2,-3), (1,1,-6), (...
EH
Answered by Ellie-May H. • Maths tutor
8374 Views

How would I differentiate y = 3xy + 2x^2 + x^2y^2 ?

Since this problem contains both xs and ys on the right hand side, we need to use implicit differentiation. This is where we use the chain rule to differentiate with regards to x the terms which contain ys. ...
EO
Answered by Emelia O. • Maths tutor
17114 Views

The equation of the line L1 is: y = 5x-4. The equation for line L2 is 2y-10x+16 = 0. Show that these two lines are parallel.

L1: y=5x-4L2: 2y-10x+16=0. Rearranged: 2y=10x-16, y=5x-8 The coefficient of x is the same in both equations when expressed in standard format (5), therefore the lines are parallel. Here is how I would talk a...
AW
Answered by Alfie W. • Maths tutor
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