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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(-1^2-4 1 -6)/2*1. This simplifies to x=1+-5/2. Keepi...
JH
Answered by Jack H. • Maths tutor
4412 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 = 13/2
HW
Answered by Helena W. • Maths tutor
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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 machines 1...
HA
Answered by Hamza A. • Maths tutor
117142 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 the example ...
EA
Answered by Elsa A. • Maths tutor
12884 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 repla...
AS
Answered by Araba S. • Maths tutor
9441 Views