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Multiply and simplify the following: (x-8)^2

With these questions, I always think how to write out the expression in terms that are more simple to understand: I would write out the expression as '(x-8)(x-8)' which really shows what the power of 2 is re...
MS
Answered by Myles S. • Maths tutor
12454 Views

Solve 3y^2 – 60y + 220 = 0 using the quadratic formula:

when a quadratic equation isn't able to be solved using factorisation, the quadratic formula can be used, which has the general formula of ** **. The letters in the formula represent the coefficients in the ...
OC
Answered by Olivia C. • Maths tutor
3686 Views

Solve x^2 = 4(x - 3)^2

Multiply out brackets x 2 = 4(x 2 - 6x + 9)x 2 = 4x 2 - 24x + 36 Minus x 2 from both sides 3x 2 -24x + 36 = 0 Divide equation by 3x 2 - 8x + 12 = 0 What 2 numbers add to make -8 and multiply to make 12? -6 a...
RH
Answered by Rosie H. • Maths tutor
3359 Views

Define x and y if 2x+y=16 and 4x+6y=24

These are a pair of simultaneous equations.First, we can equate two of the coefficients in each equation (let's choose x) by multiplying each equation respectively.With our first equation, multiply it by 2: ...
BH
Answered by Bexi H. • Maths tutor
3865 Views

There are n sweets in a bag. 6 are orange. A random sweet gets eaten, and then a second one. The probability that both sweets are orange is 1/3. Find n.

The probability that the first sweet is orange is 6/n, as 6 of the n number of sweets are orange. After an orange sweet is eaten, there are 5 orange sweets left and n-1 total sweets in the bag. This means th...
JG
Answered by Josh G. • Maths tutor
3852 Views