Find the roots of this equation: y=(8-x)lnx
To find the roots, let y=0 and find the places where the graph crosses the x-axis. When y=0, (8-x)lnx =0. This can be solved by splitting the terms and putting each =0. This is because if the answer is 0, one or both of the two things multiplied together must be equal to 0. Therefore, (8-x)=0 and lnx=0. These solve to give x=8 and x=1.
ES
Related Maths A Level answers
All answers ▸For what values of k does the graph y=x^(2)+2kx+5 not intersect the x-axis
Given a table showing grouped data and the frequency of each class, find the median Q2
The point P (4, –1) lies on the curve C with equation y = f( x ), x > 0, and f '(x) =x/2 - 6/√x + 3. Find the equation of the tangent to C at the point P , giving your answer in the form y = mx + c. Find f(x)
Solve the equation |3x +4a| = 5a where a is a positive constant.