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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
15194 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
4103 Views

C2 differentiate 2x^2 -3x +4 with respect to X

answer is 4x-3 

EC
Answered by Eloise C. Maths tutor
4587 Views

(M1) What direction does friction act in? What are the friction equations both generally and in limiting equilibrium? What does it mean for a system to be in equilibrium?

Friction always acts in the opposite direction to motion (or the potential motion) and Friction (Fr) acts as follows: In every case: Fr ≤ 𝜇R (where 𝜇 is the coefficient of friction and R is the reaction f...

JS
Answered by Jasmine S. Maths tutor
7410 Views

How do you use the completing the square method to solve a quadratic equation?

First you need to get the quadratic equation in completed square form. 
This looks like: (x+p)^2 + q 

To put an expression in completed square form you can use this formula: x^2 + 2bx + c = (...

CP
Answered by Caroline P. Maths tutor
3665 Views

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