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(2x + 3)/(x-4) - (2x - 8)/(2x + 1) = 1

Multiply through by both denominators, giving us the equation (2x + 3)(2x + 1) - (2x - 8)(x - 4) = (x-4)(2x +1). If we expand the brackets, we arrive at 4x^2 + 8x + 3 - (2x^2 -16x + 32) = 2x^2 -7x -4. If we ...
HR
Answered by Harry R. • Maths tutor
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Solve the simultaneous equations: 3a + 2b = 17 and 4a - b = 30

Here we have a pair of simultaneous equations with two unknowns. There are two methods of going about this question: substitution or elimination. Today, we shall be focusing on the latter. We need a pair of ...
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Answered by Yashna R. • Maths tutor
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Can you express 3 + 4j in polar form?

First, let's imagine the point 3 + 4j as a point on an Argand diagram, with coordinates 3,4. The polar form of an imaginary number is in the form re^(jθ), where r is the modulus of the number (the distance b...
WT
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X-rays and gamma rays are two types of electromagnetic radiation, state two ways in which they differ from microwave radiation

microwaves come from a different region in the electromagnetic spectrum to X-rays and gamma rays, meaning that they have a different wavelength. Since wavelength and energy are related, this also means that ...
HS
Answered by Hannah S. • Physics tutor
12877 Views

Factorise x^2+7x+10 to find the roots of the equatino x^2+7x+10=0

When we are asked to solve a quadratic, we can use the formula, but we are here specifically asked to use factorisation. First of all, we need to know the format of factorisation: usually, it's (x+ )(x+ ), a...
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Answered by Felix H. • Maths tutor
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