9Math Q05-1001
Chapter 5
Equations
1.If 4x2-6x+p is a perfect square , then p=……….
A. 49 B.94 C. 4 D. 9 E.16
x2+k=x have only one real root, find k.
A. 14 B.-14 C. 4 D. -4 E.1
The solution set of x2-x=x(x-1) is
A. {0} B. {0,-1} C. {1,0} D. R E.∅
The solution set of the quadratic equation 2x2=4x is
A. {0} B. {2} C. {0,2} D. (0,2) E. {(0,2)}
The solution set of the equation 9x2+1=0 is
A. {13} B. {-13} C. {13, -13} D.∅ E. None of them
The solution set of x2-6x+5=4 is
A. {(1,5)} B. {23+3} C. {3±23} D.{3-23} E. None of these
7.x2-0.4x+k is a perfect square if k=……….
A. 0.4 B. 0.04 C.-0.04 D.-0.4 E. 0.2
x2-6x+k=(x+2)2, then
A. k=3,a=-3 B. k=9,a=3 C. k=-9,a=-3 D. k=9,a=-3 E. k=3,a=9
x2+8x+10+k is a perfect square if k=………..
A. -1 B.6 C.15 D.26 E .None of these
Which must be added to x2-2x3 in order to be a perfect square is
A.422 B. 232 C. 32 D. 342 E.132
A quadratic equation with roots -3 and 5 is
A.x2-15=0 B. x2-8x-15=0 C.x2+8x-15=0 D. x2+2x-15=0 E. x2-2x-15=0
A quadratic equation with solution set {13,14} is
A.12x2=7x+1 B.12x2=7x-1 C.12x2=x+1 D.12x2=x-1 E.12x2=1-x
The solution set of the system of equation x-y=3, x2-y2=21 is
A.{(2,5)} B.{(5,2)} C. {5,2} D.{(2,5),(5,2)} E. None of these
14.The solution set of the system of equation x-y=0,x2+y2=8 is
A.{(2,-2),(-2,2)} B.{(-2,2),(2,-2)} C.{(2,2),(-2,-2)} D.{(2,5),(5,2)} E. None of these
The root of standard quadratic equation is real if
p2+q2=…………
A.(p+q)2 B.(p-q)(p-q) C.(p-q)2+2pq D.(p-q)2-2pq E. None of these
17.If a2+2ka +16 is a perfect square , then k=…..
A.-2 B.2 C. -4 D. 8 E. 16
If x2+2x-24 =(x-a)(x-b), when a>b , then
A. a=4,b=-6 B. a=6, b=-4 C. a=6 ,b=4 D. a=6, b=-6 E. a=-4, b=-6
The solution set the system of equation x2-8x+y=0, y=2x is
A. {(0,0),(12,6)} B. {(0,0),(6,12)} C. {0,12} D.{0,6} E.{(0,12),(0,6)}
The equation p2+6p-2=0 can be written as
A. (p-3)2=11 B. (p+3)2=11 C. (p+3)2=7 D.(p-3)2=7 E. None of these
The solution set of the equation (x+1)(x-7)=-12 is
A.{-1,7} B. {1,5} C. {-1,-5} D. {1,-7} E.{1,-5}
From a quadratic in x whose roots are 4+5 and 4- 5.
A. x2+5x+6=0 B.x2+8x+11=0 C. x2-5x+6=0 D. x2-8x+11=0 E. x2-4x+5=0
23.If α and β are roots of the equation of ax2+bx+c=0 , then α2 + β2=…………
A.b2-4ac B.b2-2aca2 C.ab2-2ac D. ab2-2aca2 E.-b+b2-4ac2a
24.In one of the root of the equation x2+αx-14=0 is 2, then α=……….
A.7 B. 5 C. -5 D. 3 E. -7
If 3x2+lx-5=(mx-1)(2-x)-3, then
A. l=3,m=5 B. l=-5,m=-3 C. l=-5,m=3 D. l=5,m=-3 E.l=5,m=3
The solution set of {(x,y)|y=x2} {(x,y)|y=x+2} is
A. {(-1,1),(2,4)} B.{(-1,0),(2,0)} C.{(1,-1),(4,2)} D.{(0,-1),(0,2)} E. None of these
If a2+b2=4 and (a-b)2=2, what is the value of ab?
A. 1 B.2 C. 2 D. 3 E.4
28.If x2-2x-15=(x+r)(r+s) for all value of x, one possible value for r-s is
A.8 B. 2 C.-2 D. -3 E. -5
If ax2-bx-c=0, then x=………..
A. -b±b2+4ac2a B. -b±b2-4ac2a C. b±b2-4ac2a D.b±b2+4ac2a E. None of these
The parabola y=x2-x-12 cuts the X-axis at A and B. The distance between A and B is
A. 1 B. -1 C. 7 D. -7 E.12
……………………………………………………………………………………………………..Thank you!
