Final answer:
To find the value of a in the system of equations y=x²-2 and y=7, solve the equation x²-2 = 7 to obtain the value of x. The positive constant obtained from solving the equation will be the value of a.
Step-by-step explanation:
To find the values of a and b in the system of equations y = x²-2 and y = 7, we need to set the equations equal to each other.
x²-2 = 7
Solving this equation will give us the values of x. Since the system has solutions (-a, b) and (a, b), the value of a will be the positive constant obtained from solving the equation.
Learn more about Solving equations with unknown variables