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Factorising the left hand side we get x² + x - 6 = (x + 5)(x - 4). Therefore x² + x - 6 = 0 is the same as (x + 5)(x - 4) = 0. If multiplying two quantities equals 0, this means that...

Using the crab method draw lines from each term in the first bracket to the terms in the next bracket only once ensuring the lines do not crossover. A crab like claw should appear, add terms of the same p...

y=k/d²
substituting:4=k/10²
4=k/100
400=k
d=nx²
substituting:24=n x 2²

24=4n
n=6
Eq1:y=400/d²
Eq2:...

Consider a right angled triangle, it has perimeter of 72cm. Let's label the three sides a, b and c.Therefore, a + b + c = 72cm.Also, we know that a:b:c = 3:4:5Therefore we can say that a = 3x, b = 4x, c =...

x=4, y=-2