請問以下呢幾題係點計架~
請各位幫幫手 plz~
1. if A and B are the roots of the Quadratic Equation x(2x-7)+1=0, form a quadraic equation in x whose roots are the negatives of the reciprocals ofA and B.
2. it is given that the graph of y=(m-2)x^2 + (2m+5)x + (m+1) cuts the x-axis at two points.
(a) Determine whether the value of m can be 2. Explain your answer.
(b) Find the range of possible values of m.
3. given the quadratic equations (3p+1)x^2 - (p+3)x +1 =0, find the value(s) of p for each of the following cases.
(a) the product of the roots of the equation is -4.
(b) the sum of the equation is 7.
(c) the equation has a repeated real root.
ans.
1. x^2 +7x +2 =0
2. (a) no
(b) m>-11/8 and m=/=2
3. (a) -5/12
(b) -a/5
(c) 1 or 5