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Maths
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How do you solve quadratic inequalities?

Quadratic inequalities generally don't arrive in the standard quadratic form (Ax^2 + Bx +c) and so can be sometimes difficult to spot. However, if you see an X^2 - or brackets that expand to X^2 - on eith...

DK
Answered by David K. • Maths tutor
3183 Views

Factorise and solve x2 - 8x + 15 = 0

Factorise the quadratic into two brackets to make (x-3)(x-5)=0 Because the product of these brackets is zero then the value of one of the brackets must equal zero. In order for one of the brackets to have...

MS
Answered by Mohamed S. • Maths tutor
8387 Views

Expand and simplify (x+2)(x+3)

Use the FOIL method to remember which components you need to multiply together. F= First two, O= O

NS
Answered by Natasha S. • Maths tutor
54419 Views

Find the gradient of the curve y = x^2(ln(x)) at x = e

We'll need to use the product rule.

Let's take u = x^2 -> du/dx = 2x, and v = ln(x) -> dv/dx = 1/x

Then dy/dx = x^2(1/x) + 2xln(x) = x + 2xln(x)

Substituting our x value gives (...

CR
Answered by Charlie R. • Maths tutor
6380 Views

5w -3 = 3w + 15

5w -3 = 3w + 15 

Need to get the numbers on one side, and letters on the other side.

5w = 3w + 15 + 3 

5w - 3w = 15 + 3

2w = 18

w = 18/2

w = 9

HN
Answered by Hannah N. • Maths tutor
4271 Views

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