Solve each radical equation. Be sure to check your solutionsa)√(x+5)-9=-12b)√(4x-7)=√(3x+9)

Answer:a) There is no solution to the equation.b) Solution: x = 16Step-by-step explanation:Hi there!a) Let´s write the equation:√(x + 5) - 9 = -12add 9 to both sides of the equation√(x + 5) = -12 + 9√(x + 5) = -3Square both sides of the equationx + 5 = 9Subtract 5 to both sidesx = 9 - 5x = 4Let´s check the solution:√(x + 5) - 9 = -12√(4 + 5) - 9 = -12√9 - 9 = -123 - 9 = -12-6 ≠ -12Then x = 4 is not a solution to the equation.b) Let´s write the equation:√(4x - 7) = √(3x + 9)square both sides of the equation  4x - 7 = 3x + 9subtract 3x and add 7 to both sides of the equation4x - 3x = 9 + 7x = 16Let´s check the solution:√(4x - 7) = √(3x + 9)x = 16√(4(16) - 7) = √(3(16) + 9)√57 = √57Then x = 16 is the solution to the equation