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How do you complete a square

If you are given the equation y = x 2 +4x+1 First you determine what is in the squareMake sure your x 2 term has no coefficientFind half the coefficient of the x termThat is your bracket term in this case - ...
JR
Answered by Joshua R. • Maths tutor
3297 Views

find the roots of the equation 7x^2+11x-2=0 in exact form

since the values are too difficult to calculate from factorising, we use the quadratic formula ((-b)±(b^2-4ac)^(1/2))/(2a).putting the values in as (ax^2+bx+c=0) we find the roots in exact form are;(-11+(177...
MP
Answered by Matthew P. • Maths tutor
3710 Views

what is differentiation for?

When differentiating you find the gradient of the function/line, this means how fast does the function goes up or down.
RB
Answered by Richard B. • Maths tutor
3113 Views

The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5. Work out the area of the triangle.

So, working out the different side lengths of the triangle is going to help find the area at the end. We split the ratio up into 3s and show them as a proportion of the whole perimeter. For example, one side...
RG
Answered by Roberto G. • Maths tutor
9798 Views

How do you factorise a quadratic equation?

You should already be familiar with multiplying out brackets to arrive at a quadratic equation, which will look something like the following: (x + 2)(x + 3) = x 2 + 2x + 3x + 6 = x 2 + 5x + 6 Factorising is ...
EM
Answered by Eleanor M. • Maths tutor
3437 Views