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Think of 2 numbers that will add up to give you 8 and mutiply to give you 155 and 3!(X+3)(X+5)=0Anything multiplied by 0=0 so the trick is to make each bracket be equal to 0X+3=0Therefore X=-3X+5=0Therefo...

Common denominator: 1/3 + 1/4 = 4/12 +3/12 Add numerators: 4/12 + 3/12 = 7/12Cannot simplify further, so answer is 7/12.

I would first isolate x in the first equation in the left hand side (x = 2 + 2y). Then I would replace the x in the second equation with the right hand side of the first equation, making the second equati...

2(x²) - 2x - 12= 2( x^2 - x - 6)The constant is negative so the 2 factors must have opposite signs. Then, the x term is negative so the larger one must be negative, and the smaller one positive...

For a proof via contradiction, you would start by assuming the statement is actually false¹ (even if the given statement seems inherent...