Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

The equation w^2+bw+36=0 has a unique solution if b=___ or b=____

Sagot :

altavistard

Answer:

At either b = -12 or b = +14, the equation has a unique solution.

Step-by-step explanation:

The quadratic equation w^2 + bw + 36 = 0 has three coefficients:  a = 1, b and c = 36.  This equation will have a unique solution (which is also real, not complex) if the discriminant b^2 - 4ac is zero.  Here b^2 - 4ac can be rewritten as

b^2 - 4(1)(36).  Setting this equal to zero, we get

b^2 - 144 = 0, which is equivalent to b^2 = 144.  Thus, b = ± 12.

At either b = -12 or b = +14, the equation has a unique solution.

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.