Final answer:
To find the value for c so that t² + ct + 36 = 0 has one real root, we can use the discriminant of the quadratic equation.
Step-by-step explanation:
To find the value for c so that t² + ct + 36 = 0 has one real root, we can use the discriminant of the quadratic equation.
The discriminant of a quadratic equation of the form ax² + bx + c = 0 is given by b² - 4ac.
If a quadratic equation has one real root, then its discriminant must be equal to zero. So, we have c² - 4(1)(36) = 0.
By solving this equation, we can find the value of c.