# Quadratic Equations: Problems with Solutions

Problem 1
How many real roots does the equation have?
$$x^2 + 3x + 4 = 0$$
Problem 2
What is the value of the greater root of the equation $$x^2-5x+4=0$$ ?
Problem 3
What is the value of the lesser root of the equation $$x^2-3x+2=0$$ ?
Problem 4
Find the solutions to the quadratic equation $$x^2-13x+12=0$$. Write them separated by commas in the answer box.
Problem 5
Find the roots of the equation $$x^2-7x+12=0$$. Write them in the answer box, separated by a comma.
Problem 6
Solve the equation $$x^2-15x+26=0$$ In the answer box, write the roots separated by a comma.
Problem 7
Solve the quadratic equation $$x^2+14x+45=0$$ In the answer box, write the roots separated by a comma.
Problem 8
Solve the quadratic equation $$x^2+3x-70=0$$. In the answer box, write the roots separated by a comma.
Problem 9
Find the lesser root of the equation $$x^2-12x+35=0$$

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