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First of all let's give some examples: 5^2=4x6+1 = 25 or 6^2 = 5x7+1 = 36. To prove it for every number let's call the number x (e.g. x was 5 and 6 in the cases above). Then the result we want to prove is...

Firstly, we know that it is an isosceles triangle, meaning that 2 of its sides are equal. In this case, the uneven side is given as x+4, so we can assume that the triangle has 3 sides: AB= X+3BC= X+3AC= X...

When adding fractions we need to make sure that we're adding numbers that are in the same proportion.Take for example 1/2 add 1/2, if we simply added the numerator and the denominator we would get 2/4 - w...

2x^(2) + 9x - 5=0(2x )(x )=0(2x 1)(x 5)=0(2x -1)(x+5)=02x-1=0 or x+5=02x=1 x= -5x= 1/2

8(1-sin^2(x))+6sin(x)-6=38(1-sin^2(x))+6sin(x)-9=08sin^2(x)-6sin(x)+1=0(2sin(x)-1)(4sin(x)-1)=02sin(x)-1=0 4sin(x)-1=02sin(x)=1 4sin(x)=1sin(x)=1/2 sin(x)=1/4x=(pi)/6 , 5(pi)/6 , 0.253 , 2.89