How to solve this Olympiad Maths problem 5x^x - 45x = 0

Question

ScanSolve AI Tutor · Accepted Answer

Step 1: Identify the common factor in the equation 5x² − 45x = 0. Both terms have 5x as a common factor. 5x² − 45x = 0 Step 2: Factor out the common factor 5x. 5x(x − 9) = 0 Step 3: For the product of two factors to be zero, at least one of the factors must be zero. Set each factor equal to zero and solve for x. 5x = 0 or x − 9 = 0 Step 4: Solve the first equation for x. 5x = 0; x = 0/5; x = 0 Step 5: Solve the second equation for x. x − 9 = 0; x = 9 The solutions for x are 0 and 9. The final answer is x=0, x=9.

How to solve this Olympiad Maths problem 5x^x − 45x = 0

Answer

Step-by-step solution

Identify the common factor in the equation $5x^2 - 45x = 0$ .

Factor out the common factor $5x$.

For the product of two factors to be zero, at least one of the factors must be zero.

Solve the first equation for $x$ .

Solve the second equation for $x$ .

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