Exercise
$\sqrt[2]{\frac{-4y^2}{y-1}+\frac{9y}{y-1}-\frac{5}{y-1}}$
Step-by-step Solution
Learn how to solve problems step by step online. Simplify the expression ((-4y^2)/(y-1)+(9y)/(y-1)-5/(y-1))^(1/2). Combine fractions with common denominator y-1. Combine fractions with common denominator y-1. Factor the trinomial -4y^2+9y-5 of the form ax^2+bx+c, first, make the product of -4 and -5. Now, find two numbers that multiplied give us 20 and add up to 9.
Simplify the expression ((-4y^2)/(y-1)+(9y)/(y-1)-5/(y-1))^(1/2)
Final answer to the exercise
$\sqrt{-4y+5}$