Question

Us the quadratic formula to solve 3x^2+5x+2

Answer 1

Answer:

x = -2/3, -1

Step-by-step explanation:

Solve the equation for x by finding a, b, and c of the quadratic then apply the quadratic formula.

Answer 2

For this case we have a quadratic equation of the form $ax ^ 2 + bx + c = 0$, where:

$a = 3\\b = 5\\c = 2$

The solution of the equation is determined by the quadratic formula, which is given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting the values in the formula we have:

$x = \frac {-5 \pm \sqrt {5 ^ 2-4 (3) (2)}} {2 (3)}\\x = \frac {-5 \pm \sqrt {(25-24)}} {6}\\x = \frac {-5 \pm \sqrt {1}} {6}\\x = \frac {-5 \pm1} {6}$

So:

$x_ {1} = \frac {-5 + 1} {6} = \frac {-4} {6} = \frac {-2} {3}\\x_ {2} = \frac {-5-1} {6} = \frac {-6} {6} = - 1$

Answer:

The roots are:

$x_ {1} = \frac {-2} {3}\\x_ {2} = - 1$