Respuesta :
Answer:
see explanation
Step-by-step explanation:
Given
2x² + 9x + 10 = 0
To factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 10 = 20 and sum = + 9
The factors are + 4 and + 5
Use these factors to split the x- term
2x² + 4x + 5x + 10 = 0 ( factor the first/second and third/fourth terms )
2x(x + 2) + 5(x + 2) = 0 ← factor out (x + 2) from each term
(x + 2)(2x + 5) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - [tex]\frac{5}{2}[/tex]
Answer:
1. x = 2
2. x = - 5/2
Step-by-step explanation: First put parenthesis around the equation
( 2x^2 + 4x ) + ( 5x + 10) = 0
2x ( x+ 2) 5 (x + 2),
when you have the same answer inside the parenthesis you know your right.
2x + 5 = 0
x + 2 = 0
Next preform basic algebra
2x = -5
