Final answer:
The quadratic equation with integer coefficients that has the solutions -7/8 and 7/8 can be found using the quadratic formula.
Step-by-step explanation:
The quadratic equation with integer coefficients that has the solutions -7/8 and 7/8 can be found using the quadratic formula.
The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions can be found using the formula x = (-b ± √(b² - 4ac)) / (2a).
Plugging in the values a=1, b=0, and c=-(49/64), we get x = (-0 ± √((0)² - 4(1)(-(49/64)))) / (2(1)).
Simplifying further, x = ± √((49/64)) / 2 = ± 7/8.