Answer:
the roots of the equation are x = 7 and x = -2
Step-by-step explanation:
To do this we first have to take that equation to the following form
Ax^2 + Bx + C = 0
x^2=5x+14
x^2 - 5x - 14 = 0
A = 1
B = -5
C = -14
-b(+-)√(b^2 - 4ac) / 2a
- (-5) (+-)√((-5^2) - 4 * 1 * (-14) ) / 2 * 1
5 (+-) √(25 + 56) / 2
5 (+-) √81 /2
(5 (+-) 9) /2
x1 = (5 + 9) / 2
x1 = 14/2
x1 = 7
x2 = (5 - 9) / 2
x2 = -4 / 2
x2 = -2
