Question

Solve 3x2 + x - 10 = 0. Round solutions to the nearest hundredth. (5 points) a x ≈ −5 and x ≈ 2 b No real solutions c x ≈ −2 and x ≈ 1.67 d x ≈ −1.67 and x ≈ 2

Answer 1

c) x ≈ −2 and x ≈ 1.67

Explanation:

Solve 3x²+ x - 10 = 0.

We solve using Almighty formula

-b ± √b² - 4ac/2a for equation: ax² + bx + c

where a = 3, b = 1, c = -10

Hence

-1 ± √1² - 4 × 3 × -10/2 × 3

-1 ± √1 - (-120)/6

-1 ± √1 + 121/6

-1 ± √121/6

-1 ± 11/6

Hence:

-1 - 11/6

-12/6 = -2

-1 + 11/6

= 10/6

= 1.67

Therefore, x = -2, x = 1.67

Option c) x ≈ −2 and x ≈ 1.67 is the correct answer