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Given that the equation is quadratic and has two distinct roots , this implies that the discriminant (b² - 4ac) in the quadratic formula is equal to zero. Comparing terms a = (k+1), b = (5k -3)...

Multiply: First have to make the fraction whole. To do this we multiply the first number by the denominator. Then we add it to the numerator to get a top heavy fraction. Now we can simply multiply the two...

Always a good first step to a problem like this, is to draw a diagram, making sure to label any lengths. The unknown in this question, is the rate at which the surface of water, in the cone, is rising. Ho...

y=x^2+4x+12dy/dx=2x+4

We expand the parentheses to get to the equation: 713-13isqrt(6)+7isqrt(6)-iisqrt(36) which after some further calculations equals to: 91-6isqrt(6)+sqrt(36) [We got...