Solve each equation by graphing the related function. If th equation has no real number solution, write no solution. X^2 + 7 = 0
Accepted Solution
A:
Answer: The equation x² + 7 = 0 has no solution
Explanation: 1- using graph: To solve the equation means graphically means to find the x-intercepts. The attached image shows the graph of the given function. We can note that there are no x-intercepts. This means that the given function has no real solutions
2- using algebra: To solve the equation algebraically means to find the values of x that would make the equation equal to zero. Solving the given equation, we would find that: x² + 7 = 0 x² = -7 x = ± √-7 The square root of a negative number will always give imaginary values. This means that the equation has no real solutions