Answer:
Therefore, the solutions in simplified radical form are:
x = (17 + √65) / 16 or x = (17 - √65) / 16.
Step-by-step explanation:
To solve the equation 8x^2 - 17x + 7 = 0 using the quadratic formula, we can identify the coefficients a = 8, b = -17, and c = 7 in the general quadratic equation ax^2 + bx + c = 0.
The quadratic formula is x = (-b ± √(b^2 - 4ac)) / 2a.
Substitute the values of a, b, and c into the formula:
x = [17 ± √((-17)^2 - 4*8*7)] / 2*8
x = [17 ± √(289 - 224)] / 16
x = [17 ± √65] / 16
Therefore, the solutions in simplified radical form are:
x = (17 + √65) / 16 or x = (17 - √65) / 16.
