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Maths
GCSE

Find all solutions of x^2-x-6 using the quadratic formula

From the given quadratic, we have a=1, b=-1, and c=-6. We substitute these values into the quadratic formula, x=-b+-sqrt(b^2-4ac)/2a, giving us x=-1+-sqrt(-1^2-41-6)/2*1. This simplifies to x=1+-...

JH
Answered by Jack H. Maths tutor
4122 Views

Solve 5x - 6 = 3x + 7

Rearrange the equation so that both x's are on the same side of the equation, making sure that you change the sign of the number you bring across: 5x - 3x = 7 + 6 Now simplify: 2x = 13 Divide by 2: x = 13...

HW
Answered by Helena W. Maths tutor
8303 Views

If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?

The key is start out by working out the number of widgets per minute that a single machine makes. If it takes five minutes for five machines to produce five widgets then, on average, it takes five machine...

HA
Answered by Hamza A. Maths tutor
105211 Views

How can I calculate the value of a number raised to the power of a fraction, e.g., 9^(3/2)?

In order to calculate the value of a number raised to the power of a fraction, you first find the root of the number according to the value of the denominator (bottom number of the fraction).

In th...

EA
Answered by Elsa A. Maths tutor
12409 Views

Work out the value of 125^(-2/3)

Step 1: Write 125 as an exponent. Is there any number you can multiply by itself a few times to give you 125? The answer is 5 because 5 x 5 x 5= 5 x 25 = 125. Step 2: Since we know that 125=5^3, we can r...

AS
Answered by Araba S. Maths tutor
8989 Views

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