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Solve the following for x: 2x^2-9x=5

The format of this question shows that it is a quadratic, which we can solve by factorising . We have 3 methods by which we can do this:First, we need to manipulate the equation into the form ax^2+bx+c. Subt...
NP
Answered by Noah P. • Maths tutor
4858 Views

Solve the following simultaneous equations: 3x + y = 11 2x + y = 8

Start off by determining which unknowns have the same coefficient- In this case it would be y as the coefficient of y is 1 in both equationsThen make both equations equal to y- So 3x+y= 11 would become y= 11...
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Answered by Amelia R. • Maths tutor
4679 Views

Show that the line with equation ax + by + c = 0 has gradient -a/b and cuts the y axis at -c/b?

This question involves inspecting the answers that have been provided to us. We have been given a constant gradient, and a point at which the line given by the equation cuts the y axis. This, therefore, mean...
DE
Answered by Dominic E. • Maths tutor
9745 Views

f(x) = 3x - 2a || g(x) = 2ax + 1 || fg(x) = 2x + b/2

fg(x) = 3(2ax +1) - 2a = 6ax + 3 - 2a6ax + 3 -2a = 2x + b/26a = 2 -> a = 1/33 - 2a = b/2 -> if a = 1/3 then: 3 - 2(1/3) = 9/3 - 2/3 = 7/3 7/3 * 2 = b = 14/3
EB
Answered by Elliott B. • Maths tutor
3624 Views

Factorise 6x^2 + 7x - 3=0

In order to solve the equation, we need to find a way to break the '7x' term in the middle that allows factorisation. We also need to consider the fact that the last term '-3x' has a minus sign. This broaden...
SM
Answered by Silvia M. • Maths tutor
8912 Views