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Find x: 4x + 7 = 27

4x + 7 = 27 4x = 20 x = 5

Answered by Saskia P. • Maths tutor

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Differentiate: (12x^3)+ 4x + 7

36x^2 + 4

Answered by Saskia P. • Maths tutor

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To solve this equation we need to expand the right hand side to get: x^2 = 4(x^2-6x+9), then we multiply whats in the bracket by 4 to get: x^2 = 4x^2 - 24x +36. We can subtract x^2 from both sides to give...

Answered by Kelsi F. • Maths tutor

5581 Views

Solve 5x-2=3x+11

5x-2=3x+11

Move the (-2) to the right handside. As it crosses over the (-) becomes a (+)

5x=3x + (11+2)

Move the (+3x) to the left handside. As it crosses over the (-) becomes a (+)

Answered by Tom F. • Maths tutor

4717 Views

Consider f(x)=a/(x-1)^2-1. For which a>1 is the triangle formed by (0,0) and the intersections of f(x) with the positive x- and y-axis isosceles?

We'll first compute these intersections by setting x=0 and y=0 consecutively. This gives y=a-1 and a/(x-1)^2-1=0. Hence we find (x-1)^2=a, so x=1+-sqrt(a). As we have a>1 and we want the intersection w...

Answered by Ward V. • Maths tutor

3722 Views