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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+(...

Answered by Matthew P. • Maths tutor

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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.

Answered by Richard B. • Maths tutor

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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 s...

Answered by Roberto G. • Maths tutor

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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) = x²

Answered by Eleanor M. • Maths tutor

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How do you find the original price of a sale item when a percentage decrease has been applied?

Let's use an example, for instance, a pair a trainers in the sale are advertised as having 25% off, and are now a price of £24. How would you find the original price of the trainers before the sale?Firstl...

Answered by Eleanor Grace G. • Maths tutor

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