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Write x^2 + 8x + 7 in the form (x + a)^2 + b

We work from right to left (x + a) 2 = x 2 + 2ax + a 2 2a = 8 [coefficients of x must match] a = 4 (x + 4) 2 = x 2 + 8x + 16 [substitute in a = 4] x 2 + 8x + 16 + b = x 2 + 8x + 7 [equate sides and solve for...
WM
Answered by Will M. • Maths tutor
14884 Views

What is £23 increased by 4%?

There are two steps to solving this problem. First, we want to find out how much the increase itself is, so we want to calculate 4% of £23. Then, we want to add the result to the £23. That will give us the f...
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Answered by Giulia B. • Maths tutor
5713 Views

Solve for x and y, with x and y satisfying the equations x+4y=5 and 2x+2y=16.

x=9 y=-1
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Answered by Lucy S. • Maths tutor
4201 Views

Solve the simultaneous equations for x and y: 2x+4y=-12 and y=-x-2

From the question we have y = -x - 2 so we can sub in -x-2 everywhere there is a y in the first equation. The equation is then 2x+4(-x-2) = -12 expanding the brackets we get -2x-8=-12 which you can then rear...
DG
Answered by Daniel G. • Maths tutor
4458 Views

How do I go about adding, subtracting, multiplying and dividing fractions?

The key thing to remember with fractions, is that adding and subtracting them require a COMMON DENOMINATOR. We achieve this by multiplying both the top and bottom of fractions by a number that allows us to a...
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Answered by Sam R. • Maths tutor
4589 Views