How to answer this question?
"Two lines sketched have equations y=√2x + 9 and y=10-x. Find the co-ordinates of the point of intersection."
I've already tried setting them equal to each other and solving them simultaneously but i cant get the right answer, does anyone know how to get to it?
I've already tried setting them equal to each other and solving them simultaneously but i cant get the right answer, does anyone know how to get to it?
Original post by selenacxoxo
"Two lines sketched have equations y=√2x + 9 and y=10-x. Find the co-ordinates of the point of intersection."
I've already tried setting them equal to each other and solving them simultaneously but i cant get the right answer, does anyone know how to get to it?
I've already tried setting them equal to each other and solving them simultaneously but i cant get the right answer, does anyone know how to get to it?
Is that ?
If so, after setting them equal, could you think of a substitution that would turn it into a quadratic equation?
Original post by shawn_o1
do you mean √2x as in or
yeah its the second one, the x isnt under the square root
Original post by selenacxoxo
yeah its the second one, the x isnt under the square root
After setting them equal you should be getting x as a fraction where the denominator is a surd, do you remember how to rationalise denominators?
Original post by SeanFM
Is that ?
If so, after setting them equal, could you think of a substitution that would turn it into a quadratic equation?
If so, after setting them equal, could you think of a substitution that would turn it into a quadratic equation?
I've already got the quadratic equation and attempted to work out an answer but its not the same as the answer the book says I should get
Original post by shawn_o1
After setting them equal you should be getting x as a fraction where the denominator is a surd, do you remember how to rationalise denominators?
Wouldn't you square both sides of the equation after setting them equal? How would I get x as a fraction?
Original post by selenacxoxo
Wouldn't you square both sides of the equation after setting them equal? How would I get x as a fraction?
Nope, you don't square both sides. You have √2x + 9 = 10 - x, you should know how to make x the subject of the formula by now
Original post by shawn_o1
Nope, you don't square both sides. You have √2x + 9 = 10 - x, you should know how to make x the subject of the formula by now
Ohhhh I see now, thanks!
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