Answer:
Step-by-step explanation:
The standard form of a quadratic equation is expressed as
Ax² + Bx + C = 0
The given quadratic equation is expressed as
2 = - x + x² - 4
The first step is to rearrange the given equation so that it will take the standard form. Therefore,
Subtracting 2 from the Left hand side and the right hand side of the equation, it becomes
2 - 2 = - x + x² - 4 - 2
- x + x² - 6 = 0
x² - x - 6 = 0
Comparing this equation with that of the standard form,
a = 1
b = - 1
c = - 6
Substituting into the quadratic formula, it becomes
x = (- b ±√b² - 4ac)/2a
x = (- - 1 ±√- 1² - 4 × 1 × -6)/2a × 1
x = ( 1 ±√1 + 24)/2
x = (1 + √25)/2 or x = (1 - √25)/2
x = 6/2 = 3 or x = - 4/2 = - 2
