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Let h be the height of the table. Let the edges of the fridge be A touching the ceiling, B touching the table and C touching the floor. Let D be the point on the ceiling vertically above B and E be the po...

In this question we are trying to find all the possible solutions of the variable x that will satisfy the given equation. Firstly, we see there is a denominator on one of the terms so we multiply all the ...

x²+6x+5=(x+5)*(x+1)=0 therefore x+5=0 or x+1=0, hence x=-5 and x=-1

x² - 10x + 33 ≡ (x - a)² + b Work out the value of a and b. Our aim here is to write the expression on the left in the same form as the one on the...

First you need to remove the fractions from each side,

take the equation: (x+1)/(x+3) = (2x-1)/(3x-1)

now multiply by x+3 to give x+1 = (2x-1)(x+3)/(3x-1)

now multiply by (3x-1) to gi...