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Solve: 2((x)^2) + 7x + 3, for x

First factorise the quadratic: (2x + 1)(x + 3). Next set the factorised equation to 0: (2x + 1)(x + 3) = 0. Then solve the equation to find the 2 values of x, dividing through one bracket at a time: First di...
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Answered by Olivia H. • Maths tutor
3242 Views

The perimeter of a right-angled triangle is 78 cm. The lengths of its sides are in the ratio 3: 4 : 6 Work out the area of the triangle.

P1- Find the value of a single unit in the ratio:78/(3+4+6) or (13)= 6 P1- Find the length of the base and the height of the triangle through multiplying the single unit scale by the number of units represen...
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Answered by Eduardo E. • Maths tutor
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Express 56 as the product of the its prime factors.

We will answer this question by drawing a prime factor tree.Start with 56 at the top of the page. Draw two branches coming off 56. 56 = 2 x 28, write 2 and 28 under the separate branches. Circle 2 as it is a...
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Answered by Daphne P. • Maths tutor
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How do I find the stationary points on the curve y = f(x) = x^3+6x^2-36x?

When trying to find stationary points, the first thing you should think about is differentiating. At a stationary point, the gradient of a curve or function is equal to zero. Therefore if we differentiate th...
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Answered by Luke S. • Maths tutor
5156 Views

Given y=x^2(1+4x)^0.5, show that dy/dx=2x(5x+1)/((1+4x)^0.5)

You have to differentiate the equation y=x^2(1+4x)^0.5 with respect to x to get dy/dx and thereby prove the result in the question. An equation composed of the product of two x terms can be differentiated wi...
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Answered by Alistair G. • Maths tutor
5793 Views