Okay, so what you've done is technically correct but it's not really helping you because you've still got an equation in two unknowns, which you can't solve. You need to get down to an equation in one unknown, which you can solve.
I'll give you a clue: try to find an expression for y in terms of x, and substitute it into the other equation.
Okay, so what you've done is technically correct but it's not really helping you because you've still got an equation in two unknowns, which you can't solve. You need to get down to an equation in one unknown, which you can solve.
I'll give you a clue: try to find an expression for y in terms of x, and substitute it into the other equation.
Find set of values for k where x^2-kx+k has no real roots I've done -k^2 - 4*1*k < 0 so -k^2 -4k < 0
just solved it got x=1 and y=1 i did x=0 y=5/2 y=0 x= 5/3
3/5x+2/5y=xy 3/5*5/3= 1 for x 5/2*2/5= 1 for y
That's one set of answers, but there are actually two sets of (x,y) that fulfil this equation. Again, I recommend that you find an expression for y in terms of x, substitute it into the other equation, and solve it. I'll do the first couple of steps.
That's one set of answers, but there are actually two sets of (x,y) that fulfil this equation. Again, I recommend that you find an expression for y in terms of x, substitute it into the other equation, and solve it. I'll do the first couple of steps.
y=x1 3x+2(x1)=5 3x+x2=5
converted it into a quadratic and got an x value of 2/3 y=1 so they both equal 5
crapppp i did d.o.t.s by accident k(k-4)<0 k<0 or k<4
Nearly. If the question were k(k−4)=0 then you'd be right, k=0,4. However, we've got the inequality. According to your answer, -1 should fulfil the equation but if you plug -1 into your expression for k, you will see that it's greater than 0 so therefore the constraint k<0 is wrong.
Instead, try sketching the graph of k(k-4) (using the roots you've already found) and find where that is less than 0.
Nearly. If the question were k(k−4)=0 then you'd be right, k=0,4. However, we've got the inequality. According to your answer, -1 should fulfil the equation but if you plug -1 into your expression for k, you will see that it's greater than 0 so therefore the constraint k<0 is wrong.
Instead, try sketching the graph of k(k-4) (using the roots you've already found) and find where that is less than 0.