Question

Find all real solutions of the equation
2x + √(x+13)= 10

Answer 1

2x + √(x+13)= 10

y=2x + √(x+13)-10 is the graph for this

For what values are all parts of this equation real?

(hint - it is only real if the value in the squaroot sign is greater than or equal to 0)

Answer 2

Hint: first isolate the square root on left hand side

Answer 3

Isolating the square root gives 4x2 + x-87=0