Quadratic functions and inequalities
(x-2)2-4>0
] -∞ ;0[U]4;∞[
Solve: x2=144
x1=12, x2=-12
How many solutions are there:
x2-6x+11=0
0
√(x-3)=7
x=52
2, 5
(x+3)2-4≤ 0
[1;5]
Solve: x2-5x=0
x1=0, x2=5
Give the missing value so that the equation has one solution: 7𝑥2+6𝑥+…=0
c=9/7
√(x+4)=
√(2x-3)
x=7
A real number is given, we add to it the reciprocal of the number 5 less than it. The sum is 2,5. What is the real number
3 or 4.5
-(x+1)2+9≤ 0
]-∞;-4]U[2;∞[
Solve: x2-6x+51=10x+12
x1=3, x2=13
Factorise: -4x2+29x+24
-4(x+3/4)(x-8)
√(6x-9)=x2
x=3
A real number is given, we add to it the reciprocal of the number 10 more than it. The sum is -15.2. What is the real number?
-15 or -51/5
x2-10x+25>0
real numbers, except for 5
Solve: (𝑥−4)2+(𝑥+2)2=29−𝑥
x1=-3/2=-1.5, x2=3
Give a function whose zeroes are -3, and 9 and main coefficient is 2
f(x)=2(x+3)(x-9)=2x2-15x-27
x+11=
√(23x+127)
x1=-2, x2=3
A real number is given, we add to it the square of the number 1 more than it. The sum is 1805. What is the real number?
-44 or 41
x2-14x+45>0
]-∞ , 5[U]9;∞ [
Solve: 7/x-(21+65x)/7+8x+11=0
x1=-7/9, x2=7
Simplify: (3x2+3x-6)/(2x2+3x-2)
(3x-3)/(2x-1)
x-2=
√(-4x+8)
no solution
The denominator of a fraction is 3 less than its numerator, and the fraction is 2.1 more than its reciprocal. What is this fraction if both the numerator and denominator is a whole number?
5/2