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Simplify the following quadratic equation: 3x^2 + 20x - 500 = 0.

x = −b ± √(b 2 − 4ac) / 2a x = −20 ± √(20 2 − 4(3)(-500)) / 2(3) x = (3x + 50) (x - 10)
AS
Answered by Aarnav S. • Maths tutor
1831 Views

How would I go about solving 3(x-2) = x+7?

First of all, you want to try and get rid of the brackets so the equation is easier to simplify in the next steps. So you multiply the whole bracket by 3. So it is 3x-6 = x+7. Secondly, in order to solve the...
FA
Answered by Finn A. • Maths tutor
9103 Views

A farmer has a garden shaped into an isosceles triangle. Its side is 7m. He needs to enclose the perimeter, using copper wires, in order to avoid undesirable incidents. Each meter of copper wire cost 2£. How much does he need to pay to secure his garden?

Each side of the triangle is 7 meters, because it is an isosceles triangle. P= perimeterP = 7 +7 +7 P= 21 meters Each meter of copper wire costs 2 £ so, Total cost= Perimeter in meters * Cost per meterTotal ...
ID
Answered by Iosif D. • Maths tutor
3645 Views

Julia wants to buy a new computer. 20% VAT is added to the price of the computer so that she now has to pay £300. What was the original price of the computer without VAT.

First the most important aspect to recognize is that the original price of the computer is 100%, the additional 20% of VAT makes the total value of the computer change to 120%. Therefore, the 120% = £300. Th...
PS
Answered by Patricio S. • Maths tutor
5799 Views

Differentiate with respect to x, y = (x^3)*ln(2x)

By product rule, dy/dx = x 3 (2/2x) + 3x 2 ln(2x) = x 2 (1 + 3ln(2x))
TM
Answered by Thomas M. • Maths tutor
7634 Views