Question

for the few questions in this set, you will see the quadratic formula. soon, you will need to answer the questions without this reminder.
$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$
for $ax^2 + bx + c = 0$

solve for $x$. write both solutions, separated by a comma.
$5x^2 - 7x + 2 = 0$
enter the correct answer.

Explanation:

Step1: Identify a, b, c values

From $5x^2 -7x +2=0$, $a=5$, $b=-7$, $c=2$

Step2: Calculate discriminant

$\sqrt{b^2-4ac} = \sqrt{(-7)^2 - 4(5)(2)} = \sqrt{49-40} = \sqrt{9}=3$

Step3: Apply quadratic formula

$x=\frac{-(-7)\pm3}{2(5)}=\frac{7\pm3}{10}$

Step4: Compute two solutions

$x_1=\frac{7+3}{10}=\frac{10}{10}=1$, $x_2=\frac{7-3}{10}=\frac{4}{10}=\frac{2}{5}$

Answer:

$1, \frac{2}{5}$