If ax= by= cz and b2= ac , then what is 1x+1z equal to ?

More Questions from Simplification

• If p and q are the roots of the equation x2 –15x + r = 0 and p –q = 1, then what is the value of r ?
• If 3 tan θ = cot θ where 0 < θ < π/2 , then what is the value of θ ?
• What is the value of sin225°+ sin265° ?
• What is the value of sin6θ + cos6θ + 3 sin2θ cos2θ –1 ?
• Consider the following for real numbers α, β, γ and δ ? 1) sec α = 1/4 2) tan β = 20 3) cosec γ = 1/2 4) cos δ = 2 How many of the above statements are not possible?
• For x = 462+3, what is the value of x+22x-22+x+23x-23
• If a : b = c : d = 1 : 6, then what is the value of a2+c2b2+d2 ?
• For x > 0, what is the minimum value of x + x+22x ?
• If 1/3(12x/5 - 1/2) + 6/5 = 7/6, then what is the value of x?
• If a - b = 10 and ab =-21, then what is the value of a3-b3 ?

Discussion & Comments