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A student writes down the...

A student writes down the following incomplete piece of work.

x^2-17x=0

Adding 17x to both sides x^2=17x

Divide both sides by x x=17

Substitute x = 17 into the equation x2 − 17x = 0, and explain why

this shows that x = 17 is indeed a solution of the equation.

Answer:

x^2-17x=0

17^2-17*17=289-289=0

and explain why

this shows that x = 17 is indeed a solution of the equation.

Answer:

To be done!!!

Write out a complete solution of the equation x2 − 17x = 0.

Answer:

x^2-17x=0

Factorising x(x-17)=0

So: x=0 or x-17=0

So: x=0 or x=-17

Check:

When x=0

x^2-17x=0^2-17*0=0-0=0

When x=17

x^2-17x=17^2-17*17=289-289=0

Briefly describe the student’s mistake.

To be done!!!

x^2-17x=0

Adding 17x to both sides x^2=17x

Divide both sides by x x=17

Substitute x = 17 into the equation x2 − 17x = 0, and explain why

this shows that x = 17 is indeed a solution of the equation.

Answer:

x^2-17x=0

17^2-17*17=289-289=0

and explain why

this shows that x = 17 is indeed a solution of the equation.

Answer:

To be done!!!

Write out a complete solution of the equation x2 − 17x = 0.

Answer:

x^2-17x=0

Factorising x(x-17)=0

So: x=0 or x-17=0

So: x=0 or x=-17

Check:

When x=0

x^2-17x=0^2-17*0=0-0=0

When x=17

x^2-17x=17^2-17*17=289-289=0

Briefly describe the student’s mistake.

To be done!!!

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