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How do you simplify a surd?

If you have a surd, for example root27, in order to simplify it you need to find factors of it which are square numbers. Multiplying surds is like regular multiplication, for example, root27 = roo...

Answered by Annabel H. Maths tutor
3101 Views

Determine for what values of c, f(x)=4x^2-(2c+8)x+4 has no real roots.

For f(x) not to have any real roots, its discriminant, b2-4ac < 0. Plugging in the coefficients from f(x), this means (-(2c+8))2-4x4x4 < 0.This means (-(2c+8))2 <...

Answered by Alexander R. Maths tutor
975 Views

The sides of a rectangle are x and (x+2), where x>0 the area of the rectangle is 8, what is the value of x?

X*(X+2) = 8X2 + 2X = 8X2 +2x-8=0 S 2P -8N 4, -2(X+4)(X-2)X=-4 X=2X can only be positive in this case so X=2

Answered by George G. Maths tutor
2491 Views

If a ball is dropped from 6m above the ground, how long does it take to hit the floor and what is its speed at impact (assuming air resistance is negligible)?

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