Solve the simultaneous equations: y-2x-4 = 0 (1) , 4x^2 +y^2 + 20x = 0 (2)

Re-arrange (1) : y = 2x + 4 Square both sides: y^2 = 4x^2 + 16 Substitute (1) into (2) and simplify: 2x^2 + 9x + 4 = 0 Factorise the equation: (2x+1)(x+4) = 0 Solve for x: x = -1/2 and x = -4 Substitute these x values in (1) to find corresponding y values for each x.

GA
Answered by Giorgos A. Maths tutor

9620 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

When performing differentiation in core 3, in what circumstances do I apply the chain, product and quotient rule?


The curve C has equation y = 3x^4 – 8x^3 – 3. Find dy/dx.


Water is flowing into a rightcircular cone at the rate r (volume of water per unit time). The cone has radius a, altitude b and the vertex or "tip" is pointing downwards. Find the rate at which the surface is rising when the depth of the water is y.


Given a table showing grouped data and the frequency of each class, find the median Q2


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning