Question
Solve using the quadratic formula. Round to one decimal place, if necessary. y=-3x^2+10x-7
Solution
4.3
(253 Votes)
Cody
Master · Tutor for 5 years
Answer
To find the roots (x-intercepts), set y = 0:-3x² + 10x - 7 = 0a = -3, b = 10, c = -7x = (-b ± √(b² - 4ac)) / 2ax = (-10 ± √(10² - 4(-3)(-7))) / 2(-3)x = (-10 ± √(100 - 84)) / -6x = (-10 ± √16) / -6x = (-10 ± 4) / -6x₁ = (-10 + 4) / -6 = -6 / -6 = 1x₂ = (-10 - 4) / -6 = -14 / -6 = 2.3x = 1, 2.3