At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
There is a maximum possible of 2 solutions since this is a polynomial (with a power of 2).
I'm not sure what the easiest way is to determine whether the solutions are real or complex, but I do know of a way that is simple enough to be performed by you . . .
Use the quadratic formula (this calculates the roots of a quadratic equation):
x₁ = [-b + √(b² - 4ac)]/(2a)
x₂ = [-b - √(b² - 4ac)]/(2a)
where:
y = ax² + bx + c
y = 3x² - 5x - 5
so . . .
a = +3
b = -5
c = -5
plug & chug and you get . . .
x₁ = [-3 + √(85)]/(6)
x₂ = [-3 - √(85)]/(6)
since the value under the square root sign is positive (i.e. √(85)), the roots x₁ & x₂ will be positive, and thus they'll have real solutions (note: if it was √(-85), the solution would involve a complex number, so it would not be a real solution)
. . . answer is . . . (b) two
I'm not sure what the easiest way is to determine whether the solutions are real or complex, but I do know of a way that is simple enough to be performed by you . . .
Use the quadratic formula (this calculates the roots of a quadratic equation):
x₁ = [-b + √(b² - 4ac)]/(2a)
x₂ = [-b - √(b² - 4ac)]/(2a)
where:
y = ax² + bx + c
y = 3x² - 5x - 5
so . . .
a = +3
b = -5
c = -5
plug & chug and you get . . .
x₁ = [-3 + √(85)]/(6)
x₂ = [-3 - √(85)]/(6)
since the value under the square root sign is positive (i.e. √(85)), the roots x₁ & x₂ will be positive, and thus they'll have real solutions (note: if it was √(-85), the solution would involve a complex number, so it would not be a real solution)
. . . answer is . . . (b) two
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.