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With algebra there are 2 rules to abide to which will always see you through!

1. Always do the same to both sides.
2. Always do the opposite.

In order to come to the correct ...

12p^7 multiply the 3 by the 4. Laws of Indices states when multiplying indices the answer is the addition of the indices. therefore - p^3 x p^4 = p^7

y=3x+2 x^2+y^2=20 x^2+(3x+2)^2=20 x^2+(3x+2)(3x+2)=20 x^2+(9x^2+6x+6x+4)=20 x^2+(9x^2+12x+4)=20 10x^2+12x+4=20 10x^2+12x-16=0 5x^2+6x-8=0 (5x-4)(x+2)=0 5x-4=0, x+2=0 x=4/5=0.8, x=-2 y=3x+2, y=3x+2 y=3(0.8...

By using the quadratic quation, it can be deduced that x = 1.22 or x = -3.55

When simplifying surd expressions we want to look for square numbers that are factors of the number inside the square root. If we list the square numbers (which are numbers that are the result of squaring...