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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
4611 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
AM
Answered by Amelie M. • Maths tutor
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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
6883 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 -...
AL
Answered by Aloysius L. • Maths tutor
6754 Views

Solve the simultaneous equations. 2x + y = 18 . x - y = 6

x = 6 + y 2(6+y) + y = 18 12+2y+y = 18 3y = 18-12 3y=6 y = 6/3 = 2. So y = 2 if y = 2 then x is = ? x - y = 6 so, x-2 = 6 so x is 6+ 2 = 8 x = 8 and y = 2
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Answered by Olufunke O. • Maths tutor
3399 Views