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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 = ax 2 + bx + c where a,b and c ...
WU
Answered by Will U. • Maths tutor
6618 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
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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 parallel lines will be equal! So even befo...
HP
Answered by Harvey P. • Maths tutor
16404 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: Work out 30% of the total price. This would be the same as working out 10% (dividing by 10 = £2.40) and multiply...
CT
Answered by Chloe T. • Maths tutor
3650 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 va...
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Answered by Alexander W. • Maths tutor
8540 Views