2000001001
Level:
A
Which of the following equations has the solution set \(K=\{-1; 3\}\)?
\( (x+1)(x-3)=0\)
\( (x-1)(x+3)=0\)
\( 5(x-1)(x+3)=0\)
\( (x+1)(x-3)=1\)
Quadratic equations and inequalities
2000001002
Level:
A
Which of the following equations has the solution set \(K=\{0; 10\}\)?
\(x^2-10x=0\)
\(10x^2-x=0\)
\(x^2-10x=10\)
\(x^2+10x=0\)
2000001003
Level:
A
Which of the following equations has the solution set \(K=\left\{-\sqrt{3}; \sqrt{3}\right\}\)?
\(3x^2-9=0\)
\(x^2+9=0\)
\(x^2-9x=0\)
\(3x^2-1=0\)
2000001004
Level:
A
Find the solution set of the equation \(3x^2 + 15x = 0\).
\(\{-5; 0\}\)
\(\{ -5\}\)
\(\{0; 5\}\)
\(\left\{0; \frac{1}{5}\right\}\)
2000001005
Level:
A
Find the solution set of the equation \(x^2 = 25\).
\(\{-5; 5\}\)
\(\{5\}\)
\(\{0; 5\}\)
\(\{-25; 25\}\)
2000001006
Level:
A
Find the solution set of the equation \(2(x-7)\left(x+\frac{1}{2}\right)=0\).
\(\left\{-\frac{1}{2};7\right\}\)
\(\left\{-7;\frac{1}{2}\right\}\)
\(\{-1;14\}\)
\(\{-14;1\}\)
2000004901
Level:
A
Choose the equation that has no real roots.
\( 5x^2 +1 =0\)
\( 5x^2 +x =0\)
\( 5x^2 -1 =0\)
\( 5x^2 -x =0\)
2000004902
Level:
A
Choose the equation that has two real roots and one of them is \(0\).
\( 3x^2 -10x=0\)
\( 3x^2 -10=0\)
\( 3x^2 +10=0\)
\( 10x^2=5\)
2000004904
Level:
A
From the given sets identify the one that contains all roots of the quadratic equation:
\[ x^2 =5\]
\( \left\{ -\sqrt{5}; \sqrt{5} \right\} \)
\( \left\{ 0; \sqrt{5} \right\} \)
\( \left\{\sqrt{5} \right\} \)
\( \left\{-5;5\right\}\)
2000004905
Level:
A
From the given quadratic equations identify the one that has a double root.
\( x^2-10x+25=0\)
\( x^2-10x=0\)
\( x^2-10=0\)
\( x^2-10x+100=0\)