The qudractic equation is .
Apply subtraction property of equality: If a = b then a c = b
c.
(Add
to each side)
(Apply additive inverse property: ).
The equation compare to quadratic equation, then a = 2, b = 7 and c = 3.
Quadratic formula: .
(Substitute x = w, a = 2, b = 7 and c = 3)
(Evaluate power:
)
(Simplify)
(Subtract: 49 - 24= 25)
Evaluate square roots:
Separate the solutions .
(Simplify)
The solution set is .