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Derive the quadratic formula form the general quadratic equation

Write the general quadratic equation : ax²+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 squ...

Answered by Muhammad S. • Maths tutor

3256 Views

Find the intersection coordinates of both axis with the function: f(x)=x^2-3x+4/3

Find the y₁ coordinate, where x₁ = 0, this is the intersection with y-axis. f(0)=4/3, therefore one intersection P_y=[0,4/3]Find the x_1,2 coordinates, where y = ...

Answered by Martin S. • Maths tutor

2444 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

Answered by Amelie M. • Maths tutor

3420 Views

Integrate the natural logarithm of x (ln x) with respect to x

In order to integrate ln x you have to use integration by parts, even though it appears there is only one term to be integrated. We get around this by instead writing it as (ln x)(1), where we treat the 1...

Answered by Archie D. • Maths tutor

2905 Views