Solve each equation by graphing the related function. If the equation has no real-number solution. Write no solution.
64b^2=16
To solve the equation 64b^2 = 16 by graphing the related function, we first need to rewrite the equation in slope-intercept form so we can graph it.
64b^2 = 16
b^2 = 16/64
b^2 = 1/4
b = ±1/2
The related function to the equation is a parabola with the equation y = 64x^2 - 16.
Now we can graph this function by plotting the points (0, -16), (0.5, 0), and (-0.5, 0).
The graph will show that the function never intersects the x-axis at b = 0.5 or b = -0.5. Therefore, the solutions to the equation 64b^2 = 16 are b = ±1/2.
So, the solutions to the equation are b = 1/2 and b = -1/2.