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Maths
GCSE

Find the roots of the equation y = 2x^2 + 5x + 2.

The root of an equation is a point where, when the equation is plotted on a graph, it crosses the x axis. The x axis is the line y = 0, so the roots can be found by setting 0 = ax2 + bx + c whe...

WU
Answered by Will U. Maths tutor
5132 Views

Evaluate x^2 +2x -4 = 0

Using the quadratic formula (-b +- sqrt(b^2 -4ac))/2a we can sub substitute a = 1, b=2 and c = -4 to solve. The answer is x = -1 +/- sqrt(5)

AC
Answered by Adeolu C. Maths tutor
3445 Views

A straight line L1 has equation y = 2x + 4. L2 is parallel to L1 and passes through the point (3,13). What is the equation of L2?

Firstly, If L2 is parallel to L1, the gradient of L1 = L2. If we then take the generic equation of any straight line to be: y = mx + c, the m (gradient) of any two parall...

HP
Answered by Harvey P. Maths tutor
14385 Views

How would you work out the price of a trip if it is usually £24 but a man has a railcard that gives him 30% off?

In order to work out 30% off something you can use two methods. I'll explain both.

Method one:

  1. Work out 30% of the total price. This would be the same as working out 10% (dividing by 1...
CT
Answered by Chloe T. Maths tutor
2916 Views

Factorize x^2 + 4x -5 and hence find the roots of the quadratic equation y = x^2 + 4x - 5.

First, identify the integer factors of the constant. In this case -5, has factors -1,5 and 1,-5. Now check to see if the sum of either pair is equal to the value of the coefficient of x. In this case, the...

AW
Answered by Alexander W. Maths tutor
6776 Views

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