Answer:
D
Step-by-step explanation:
Given
2x² + 3x - 7 = x² + 5x + 39
Subtract x² + 5x + 39 from both sides
x² - 2x - 46 = 0 ← in standard form
with a = 1, b = - 2, c = - 46
Solve for x using the quadratic formula
x = (- (- 2) ±[tex]\sqrt{(-2)^2-(4(1)(-46)}[/tex] ) / 2
= ( 2 ± [tex]\sqrt{4+184}[/tex] ) / 2
= ( 2 ± [tex]\sqrt{188}[/tex] ) / 2
= ( 2 ± 2[tex]\sqrt{47}[/tex] ) / 2
= 1 ± [tex]\sqrt{47}[/tex]
