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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

1st we will log both sides of the equation7^(x+1) = 3^(x+2) becomes log7^(x+1) = log3^(x+2)NEXT we will use the power law which is log_a (x)^k=k...

Recognise that the form this question is a circleRemember alternate circle equation (x + a)² + (x + b)² = r²Where centre of circle (-a,-b) and r is the radiusTo get the ri...

3+4+5=12,72/12=6,3x6=18, 4x6=24,Area=1/2 x 18 x 24=216