F4 Add Math Chapter 2 Revision: Quadratic Function

The quadratic equation  $x(x+1)=hx-4$   has two distinct roots. Find the range of values of h.
Persamaan kuadratik  $x(x+1)=hx-4$    mempunyai dua punca nyata. Cari julat bagi nilai-nilai h.

• -3<h<5

• h<-3,h>5

• -4<h<2

• h>-4, h<2

Find the range of values of x for  $x^2+20<9x$  
Cari julat nilai x bagi  $x^2+20<9x$   .

• 4<x<5

• 2<x<7

• -4<x<7

• -4<x<5

Given  $\frac{5}{3}$ is one of the roots of the quadratic equation  $3x^2-px+5=0$   . Find the value of p.

• p=5

• p=6

• p=7

• p=8

• k=-4

• k=4

• k=2

• k=-2

• 8

• 2

• x=2

• x=8

• (2,-8)

• (-2,-8)

• (1,8)

• (-1,-8)

Find the range of the values of x for  $3x-1\ge\frac{4x}{x+2}$  

•  $-1\le x\le2$  

•  $-1\le x\le\frac{1}{3}$  

•  $-1\le x\le-\frac{2}{3}$  

•  $-1\le x\le\frac{2}{3}$  

The quadratic equation  $2x^2–(6+k)x+2=0$  , where k is a constant, has two different roots. Find the range of values of k.

• k<-2, k>10

• k<2, k>10

• k<-10, k>-2

• k<-10, k>2

The graph of the quadratic function $f(x)=a(x–2)^2+q$  has a minimum point ( p , - 8 ) where a,p and q are constants.
State the value of p.

• 2

• -2

• 8

• -8

If α and β are the roots of the quadratic equation  $2𝑥^2−4𝑥+3=0$   , form the quadratic equation with roots  $\frac{3}{\alpha}$   and  $\frac{3}{\beta}$   . 

•  $x^2-4x+8=0$  

•  $x^2+4x+6=0$  

•  $x^2-4x+6=0$  

•  $x^2-2x+6=0$