Question

• Persevere in Problem Solving the difference between the solutions to the equation x = a is 30. What is a? Show that your answer is correct.​

Answer 1

Answer: a=225

Explanation:

`a > 0\\\\x^2=a\\\\x^2-a=0\\\\(x-√(a) )(x+√(a)) =0\\\\√(a) -(-√(a) )=30\\\\2√(a) =30\\\\√(a) 15\\\\a=15^2\\\\a=225\\\\Proof:\\√(225) -(-√(225) )=2*√(225) =2*15=30\\\\`