Final answer:
To solve the quadratic equation, we simplified it to 3x² - 7x - 14 = 0 and used the quadratic formula to find the values of x that satisfy the equation.
Step-by-step explanation:
The student's question involves finding a value of x that satisfies the given quadratic equation (x² − 7)2 + 2x² − 14 = 0. To solve this equation, we should first simplify and arrange it in the standard form of a quadratic equation, ax² + bx + c = 0. However, there appears to be a type in the original equation provided by the student.
Assuming the corrected equation is x² - 7x + 2x² - 14 = 0, we can combine like terms to get 3x² - 7x - 14 = 0. We then use the quadratic formula, which is x = (-b ± √(b² - 4ac))/(2a), where a = 3, b = -7, and c = -14. Substituting these into the formula, we find the values of x that solve the equation.