Answer :
Answer:
We have been given an equation [tex]x^2+9x+20=0[/tex]
We will factorize it by middle term splitting.
Step 1: [tex]x^2+5x+4x+20=0[/tex]
Taking common factors out by clubing first two terms ad last two terms
Step 2: [tex]x(x+5)+4(x+5)=0[/tex]
Step 3: [tex](x+4)(x+5)=0[/tex]
Equating both above factors to zero as:
Step 4: [tex](x+4)=0\Rightarrow x=-4[/tex]
And [tex](x+5)=0\Rightarrow x=-5[/tex].
Answer:
x = -5 or x = -4
Step-by-step explanation:
Given equation is :
x²+9x+20 = 0
We have to solve it by factoring.
Step 1. Split the middle term of given equation so that the sum of two term should be 9 and their product be 20.
x²+5x+4x+20 = 0
Step 2. Making groups ang taking common terms.
x(x+5)+4(x+5) = 0
Step 3. Taking (x+5) as common,we get
(x+5)(x+4) = 0
Step 4. Applying Zero-Product Property to above equation,we get
x+5 = 0 or x+4 = 0
x = -5 or x = -4 which is the answer.