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Solve x^4+2x^2-3=0

The trick with this question is noticing the hidden quadratic as quartic equations are unsolvable at A-level. Letting u=x^2 the question becomes u^2+2u-3=0 which most students would be able to solve. To fact...
BS
Answered by Ben S. • Maths tutor
7793 Views

How to solve simultaneous equations with a quadratic

Example. " Solve the simultaneous equations y + 4x + 1 = 0 y^2 + 5x^2 + 2x = 0 " We can rearrange the first equation to something that we can substitute into the second equation, for example y = -4...
TW
Answered by Tilly W. • Maths tutor
3767 Views

Find the indefinite integral of 3x - x^(3/2) dx

To find the integral of a function you must first incease the power of x by one then divide to coefficient by the new power. So, by increasing the powers first you get 3x^2 - x^(5/2) and then dividing by the...
AJ
Answered by Alex J. • Maths tutor
5777 Views

differentiate the following to find the equation for the gradient of the curve in terms of x and y: 3x^3 + 4x^2 + 5xy + 7y = 0

9x^2 + 8x + 5y +5xdy/dx + 7dy/dx = 0 9x^2 + 8x + 5y = dy/dx(-5x - 7) dy/dx = - (9x^2 + 8x +5y)/(5x + 7)
HP
Answered by Hew P. • Maths tutor
4456 Views

Differentiate 8x^4 + 2x^2 + 10

Differentiating is a process to turn one expression into another, which has many uses in maths. Our expression is made up of three parts: 8x 4 , 2x 2 and 10. We differentiate each part seperately. The proces...
JC
Answered by Jamie C. • Maths tutor
4497 Views