Solve using the quadratic formula. Round to one decimal place, if necessary. y=-3x^2+10x-7

To find the roots (x-intercepts), set y = 0:<br /><br />-3x² + 10x - 7 = 0<br /><br />a = -3, b = 10, c = -7<br /><br />x = (-b ± √(b² - 4ac)) / 2a<br />x = (-10 ± √(10² - 4(-3)(-7))) / 2(-3)<br />x = (-10 ± √(100 - 84)) / -6<br />x = (-10 ± √16) / -6<br />x = (-10 ± 4) / -6<br /><br />x₁ = (-10 + 4) / -6 = -6 / -6 = 1<br />x₂ = (-10 - 4) / -6 = -14 / -6 = 2.3<br /><br /><br />x = 1, 2.3<br />