380 Quadratic Equations with Real Roots
- Manipulate the following equation so it has the square of a binomial on the left side of
the equals sign and 0 on the right side. Here’s a hint: The coefficient and constant in
the binomial are both integers.
16 x^2 − 40 x+ 25 = 0 - What is the single root of the quadratic stated in Prob. 5? What is the solution set?
- Manipulate the following equation so it has the square of a binomial on the left side
of the equals sign and a positive real number on the right side. Here’s a hint: The
coefficient and constant in the binomial are both integers.
x^2 + 6 x− 7 = 0 - What are the roots of the quadratic stated in Prob. 7? What is the solution set?
- How many real roots does the following quadratic have? Find the real root or roots, if
any exist, using the quadratic formula. What is the real-number solution set?
− 2 x^2 + 3 x+ 35 = 0 - How many real roots does the following quadratic have? Find the real root or roots, if
any exist, using the quadratic formula. What is the real-number solution set?
4 x^2 +x+ 3 = 0