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Maths
GCSE

Solve the quadratic equation x^2+5x+6=0

There are two approaches which can be taken when solving this equation. The first is using the quadratic equation. By comparing the coefficients of the example to the general quadratic equation, a(x^2)+b(...

AM
Answered by Anna M. Maths tutor
26170 Views

Write x^2 + 3x + 1 in the form of (x+b)^2 + c

This question is asking for a complete the square method. This is where you take the coefficient of x (the number before x, so 3 here) and divide it by two, this gives you b in the new form. However, upon...

EW
Answered by Emily W. Maths tutor
6686 Views

How do you calculate a number to the power of a fraction? (8^2/3)

When a number is raised to the power of a fraction, it is the same as rooting that number to the denominator (the number on the bottom). So if the number is raised to ½ it is the same as √ and if it is ra...

KS
Answered by Katie S. Maths tutor
58959 Views

Find the points at which the equation y = x^2 - 12x + 35 intersects the x-axis.

To find the points at which an equation intersects the x-axis, we first need to factorise the equation to be able to find the solutions. To do this, we consider the general form of a quadratic equation a...

SH
Answered by Sam H. Maths tutor
5967 Views

Solve the following simultaneous equations: 2x - y = 7 and x^2 + y^2 = 34

First, clearly write the two equations above one another, and label them (1) and (2). Rearrange the linear equation (the one with no squared variables) to make y the subject of the equation. You should ge...

TF
Answered by Tobias F. Maths tutor
19457 Views

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