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Using the information given, we can draw a diagram of the ladder leaning against the wall. As the wall is at 90 degrees to the ground, we can see that the ladder, wall and ground form a right-angled trian...

The constant 18 can be written in the form 3*6. Therefore the brackets will take the form (x 3)(x 6). In order to find the sign in between them, we have to write -9 using 3 and 6. -9=-3-6 so the brackets ...

Firstly, I would explain to the student what exactly the question is asking you to do. When solving an equation we are finding the value of x. I would get the student to read the equation aloud, starting ...

15 can be rewritten as 3*5, so our factorisation must be in the form (x ? 3)(x ? 5). To determine the signs inside the brackets we need to find a way to make -8 from 3 and 5. This is done with -8=-5-3, so...

The quadratic formula is (-b±sqrt(b^2-4ac))/2a where a is the coefficient of the x^2 term, b is the coefficient of the x term and c is the number. So, in this case a=5, b=-9 and c=4. Substitute this into ...