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How do I solve simultaneous equations?

The elimination method 2x + 3y = 83x + 2y = 7 First we multiply one or both of the equations so that one of their like terms share the same coefficients. 2x + 3y = 8 (multiply by 3) -> 6x + 9y = 243x + 2y...
JG
Answered by Joe G. • Maths tutor
4663 Views

Find the integral of (cosx)*(sinx)^2 with respect to x

This is a common example of an integral that is a product of two functions whose derivatives are related. As we know the derivative of sinx is cosx, we can use substitution to easily solve this - let our U= ...
HS
Answered by Harry S. • Maths tutor
7548 Views

express 9^(3x+1) in the form 3^(ax+b)

9 3x+1 =(3 2 ) (3x+1) =3 6x+2
HD
Answered by Harry D. • Maths tutor
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Solve 7(x-5)=25-3x

Firstly, expand the left hand side of the equation out to produce: [7x-35=25-3x]. Bring all the x's to one side (to form 10x=60). Divide both sides by 10 to find the solution for x [x=60/10]. Therefore, x=6
JJ
Answered by Jenni J. • Maths tutor
4825 Views

The equation 5x sqaured + px + q , where p and q are constants, has roots α and α + 4. (a) Show that p squared = 20q +400.

a+a+4 = -p/5a+2 = -p/10(a+2)sqaured = q/5 +4p sqaured/100 = q/5 +4p sqaured = 100(q/5 +4)implies p squared = 20q+400
AT
Answered by Ahmed T. • Maths tutor
6442 Views