Question

1) Solve the following quadratic equation by factorization method.

3p2 + 8p+ 5= 0​

Answer 1

Answer:

$p = \frac{-5}{3} or (-1)$

Step-by-step explanation:

$3p^{2} + 8p + 5 = 0\\\\ => 3p^{2} + 5p + 3p + 5 = 0\\\\=> p(3p + 5) + 1(3p + 5) = 0\\\\=>(3p + 5)(p + 1) = 0\\\\=> 3p + 5 = 0 \\or \\=> p + 1 = 0\\\\Therefore, p = \frac{-5}{3} or (-1).$

Answer 2

Answer:

3p2+8p+5=0

3p2+3p+5p+5=0 (8p can be written as 8p=3p+5p)

3p(p+1)+5(p+1)=0

(p+1) (3p+5)=0

Either (p+1)=0 or (3p+5)=0

putting (p+1)=0

p+1=0

p= -1

putting (3p+5)=0

3p+5=0

3p= -5

p= -5/3