Question

Solve the quadratic equation by using the quadratic formula. If the solutions are not real, enter NA. 5x2−7x+1=0

Answer 1

Answer:

Step-by-step explanation:

a = 5, b = -7 c = 1

$x=\frac{-b\pm\sqrt{{b^2-4ac}}}{2a}\\=\frac{-(-7)\pm\sqrt{{(-7)^2-4(5)(1)}}}{2(5)}\\\\=\frac{{7}\pm\sqrt{{49-20}}}{10}\\\\\\=\frac{{7}\pm\sqrt{{29}}}{10}$

so

$x_1=\frac{7+\sqrt{29}}{10}\\x_2=\frac{7-\sqrt{29}}{10}$