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Factorise x^2 - 8x + 12

First we need to draw our two brackets where the terms will go, we set them out like so ( )( ). Now looking at the coefficient of the x squared term, we se that it is one, therefore, it is formed by a mul...

Answered by Luke S. • Maths tutor

6095 Views

For which values of k does the quadratic equation 2x^2+kx+3=0 only have one unique solution?

A quadratic equation ax² +bx+c=0 will have only one unique solution if and only if b²-4ac=0. If we apply this to the equation in the question, we get that k²-24=0. If we s...

Answered by Ewan R. • Maths tutor

3304 Views

Solve the linear equation 4x+5=-6x+15

So, students should be able to solve basic linear equations as shown above. The aim in order to solve the equation would be to get all of the x values onto one side of the equation and all of the integers...

Answered by Niall H. • Maths tutor

4504 Views

Solve the simultaneous equations 2x + y = 18 and x - y = 6

2x + y = 6x - y = 6x = 6 + y => 2(6 + y) + y = 18 => 12 + 3y = 18 => 3y = 6 => y = 2x - (2) = 6 => x = 8x = 8, y = 2

Answered by Harry H. • Maths tutor

3144 Views

FInd the equation of the line tangent to the graph g(x)=integral form 1 to x of cos(x*pi/3)/t at the point x=1

This problem requires us to find out the equation of the tangent line, which has form y=mx+q.M is the angular coefficient or slope of the line and can be evaluated through the derivative of the function ...

Answered by • Maths tutor

2998 Views