Question

Solve 2x² - 26 = 0 to identify the roots. The roots are imaginary because if ____________?

Answer 1

To solve the quadratic equation 2x² - 26 = 0 and identify the roots, we can use the quadratic formula. The roots of the equation are x = √(104)/4 and x = -√(104)/4.

Step-by-step explanation:

To solve the equation 2x² - 26 = 0 and identify the roots, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax² + bx + c = 0, the roots are given by:

x = (-b ± √(b² - 4ac))/(2a)

For the equation 2x² - 26 = 0, we have a = 2, b = 0, and c = -26. Plugging these values into the quadratic formula, we get:

x = (-0 ± √(0² - 4(2)(-26)))/(2(2))

x = ±√(104)/4

Thus, the roots of the equation 2x² - 26 = 0 are x = √(104)/4 and x = -√(104)/4.