Question

While using factorization method solve the following quadratic equation

1. 2t+5t+2=0
2. Y+2y+1=25
3.9-36x=36x²

Answer 1

Explanation:

1) 2t + 5t + 2 = 0

Add 2t + 5t = (2+5)t = 7t

7t + 2 = 0

Substract 2 from both sides

7t + 2 - 2 = 0 - 2

7t = -2

Divide both sides by 7

7t/7 = -2/7

`\sf \: t = ( - 2)/(7)`

`\sf --------------------------------------------`

Y+2y+1=25

3y + 1 = 25

3y = 25 - 1

3y = 24

y = 24/3

y = 8

`\sf --------------------------------------------`

9−36x=36x2

Step 1: Simplify both sides of the equation.

−36x+9=36x2

Step 2: Subtract 36x^2 from both sides.

−36x+9−36x2=36x2−36x2

−36x2−36x+9=0

For this equation: a=-36, b=-36, c=9

−36x2+−36x+9=0

Step 3: Use quadratic formula with a=-36, b=-36, c=9.

x=

−b±√b2−4ac/2a

x=−(−36)±√(−36)2−4(−36)(9)/2(−36)

x=36±√2592/−72

x=−1/2 + −1/2√2 or x=−1/2 + 1/2√2