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Solve the simultaneous equation: 4x-11y=34 and 2x+6y=-6

When solving a simultaneous equation, we will use the elimination method. This method sees us removing or ‘eliminating’ the x or y term. First we need to find the lowest common multiple of the x and y terms ...
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Answered by Charlie B. • Maths tutor
3533 Views

A curve with equation y = f(x) passes through the point (4,25). Given that f'(x) = (3/8)*x^2 - 10x^(-1/2) + 1, find f(x).

f'(x) = (3/8) x^2 - 10x^(-1/2) + 1Each term must be integrated (increase the power by 1 and divide by the new power), remembering to include + c.f(x) = (3/8) (x/3)^3 - 10*(2x)^(1/2) + x + cf(x) = (1/8) x^3 -...
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Answered by Oliver W. • Maths tutor
8982 Views

Find the roots of 2x^2-2x=3, leaving your answer in it's simplest exact form.

First we need to rearrange our equation so it is in the correct form of ax 2 +bx+c=0.So we'd move the 3 over to the left hand side to give us 2x2-2x-3=0.We need to use the quadratic formula. Using x=( -b+/-(...
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Answered by Jake A. • Maths tutor
4952 Views

Solve the inequality x^2 + 4x ≥ 77

First step is to rearrange to make the quadratic easier to work with: in a familiar form. x 2 + 4x ≥ 77, -77 from both sides x 2 + 4x - 77 ≥ 0 Now the quadratic can be solved, by simplifying into double brac...
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Answered by Alex D. • Maths tutor
5581 Views

Show that the square of any odd number is an odd number

We can talk about any integer (or whole number) with the variable n. n could be any integer, 2, 3 or 100 or 5 billion and 1!If n is any integer, then what numbers could be written as 2n? These are the even n...
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Answered by Alice T. • Maths tutor
5406 Views