What are the roots of the equation?

x2=5x+14
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x=
or x=

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