Solve each quadratic by using the wuadratic formula and round the answer to the nearest hundredth, if possible.

1. x^2 = 9

2. 0 = 3x^2 - 8

quadratic formula

x = (-b +- (sqrt(b^2 - 4ac)))/2a

1) x^2 = 9
x^2 - 9
a = 1, b = 0, c = -9

x = 0 +- (sqrt(0^2 - 4(1)(-9)))/2(1)
x = + - (sqrt(0 + 36))/2
x = +- (sqrt36)/2
x = +- 6/2
x = +- 3
x = 3, -3
you try number 2

8q2 – 3q – 2 = 0

iove

To solve each quadratic equation using the quadratic formula, we need to identify the coefficients a, b, and c in the equation in the general form: ax^2 + bx + c = 0.

1. x^2 = 9:
In this equation, a = 1 (coefficient of x^2), b = 0 (coefficient of x), and c = -9 (constant term).

Using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a)
Plugging in the values:
x = (0 ± √(0^2 - 4(1)(-9))) / (2(1))
x = (± √(0 + 36)) / 2
x = ±√36 / 2
x = ±6 / 2
x = ±3

The solutions are x = 3 and x = -3.

2. 0 = 3x^2 - 8:
In this equation, a = 3, b = 0, and c = -8.

Using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a)
Plugging in the values:
x = (0 ± √(0^2 - 4(3)(-8))) / (2(3))
x = (± √(0 + 96)) / 6
x = ±√96 / 6
x = ±9.8 / 6
x ≈ ±1.64

The solutions are x ≈ 1.64 and x ≈ -1.64, rounded to the nearest hundredth.