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Solve 3x²+6x-7=0 by using completing the square method. Leave your answer in surd form.

This is a question which is simply asking you to solve a quadratic. There are three main ways to do this; quadratic equation, factorising into brackets and completing the square. As the question specifically...
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Answered by Sunny S. • Maths tutor
6071 Views

Derive the quadratic formula form the general quadratic equation

Write the general quadratic equation : ax 2 +bx+c = 0 Need to solve for 'x' using completing the square method. 1 - Divide through by 'a' in order to get into a form which we can complete the square of : x 2...
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Answered by Muhammad S. • Maths tutor
4546 Views

An isosceles triangle ABC has a perimeter of 16cm. AB = x+3, AC = x+4. Calculate the area of ABC.

Find x.2(x+3) + x+4 = 163x + 10 = 16x = 2So: AB = 5cm, BC = 5cm, AC = 6cmThen use '0.5 x base x height' to find area.Base = 6Height use Pythagoras: 5^2 - 3^2 = x^225 - 9 = 16x = 40.5 x 6 x 4 = 12cm^2
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Answered by Amelie M. • Maths tutor
4335 Views

Write down 56 as the product of its prime factors.

56 / 2 = 2828 / 2 = 1414 / 2 = 77 / 7 = 1so, 56 = 2x2x2x7 = 2 3 x7Example of a non calculator GCSE paper question, higher tier
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Answered by Mehdi A. • Maths tutor
6821 Views

Simplify fully: (24 - √ 300)/(4√ 3 - 5). Give your answer in the form a√ b where a and b are integers and find the values of a and b.

rationalise the denominator (remove the surds) by multiplying by a fraction = 1, known as the rationalising factor = (24 - √ 300)/(4√ 3 - 5) * (4√ 3 + 5)/(4√ 3 + 5) = (24 - √ 300)(4√ 3 + 5)/(48 - 25) = (24 -...
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Answered by Aloysius L. • Maths tutor
6687 Views