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Solve the simultaneous equations y + 4x + 1 = 0 and y^2 + 5x^2 + 2x = 0

y=-4x-1
(-4x-1)^2 +5x^2 +2x=0

16x^2 +8x +1 +5x^2 +2x=0

21x^2 +10x + 1 =0
(7x+1)(3x+1)=0

x=-1/7 or -1/3

y= -3/7 or 1/3

DJ
Answered by Dinesh J. Maths tutor
14896 Views

How do I choose a good topic for my EPQ, and how do I make sure my research is credible?

The EPQ is quite an open-ended course, in that you have a lot of freedom in choosing what you study, where you study/write up and how you choose to carry out research. This is great for some people, howev...

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13109 Views

Comment on the long and short term cross-price elasticity of demand for petrol and diesel.

The short-term XPED for petrol and diesel is likely to be very low, as most consumers are unable to quickly switch between the two fuels for their vehicles. However, if there is a significant difference i...

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Answered by James S. Economics tutor
3584 Views

The curve A (y = x3 – x2 + x -1) is perpendicular to the straight-line B at the point P (5, 2). If A and B intersect at P, what is the equation of B? Also, find any stationary points of the curve A.

Firstly find the gradient of A, through differentiation: dy/dy = 3x2 – 2x + 1. To find the gradient at P, substitute the x value of the P coordinate into this equation: dy/dx = 3(2)2...

JS
Answered by James S. Maths tutor
4033 Views

What relationship does Phillips curve show us?

Bill Phillips was an economist from New Zealand who spotted that when employment levels are high, wages rise faster, therefore people start spending more money, therefore, boosting aggregate demand. This ...

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Answered by Simeon P. Economics tutor
2465 Views

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