Question

g the quadratic formula with complex solutions -jean caulien ex 2) solve the equation using the quadratic formula. $7x^2 - 5x - 2 = 0$ $a = 7$ $b = -5$ $c = -2$ $\frac{5 pm sqrt{25 - 4(7)(-2)}}{2(7)} = \frac{5 pm sqrt{25 + 56}}{14} = \frac{5 pm sqrt{81}}{14}$ $\frac{5 pm 9}{14} = \frac{5 + 9}{14}$, open - ended question the roots/zeros/x - intercepts(solutions) are real numbers & rational numbers. type your answer here

Explanation:

Step1: Split the ± expression

$\frac{5+9}{14}, \frac{5-9}{14}$

Step2: Calculate numerators

$\frac{14}{14}, \frac{-4}{14}$

Step3: Simplify fractions

$1, -\frac{2}{7}$

Answer:

$x=1$ and $x=-\frac{2}{7}$