Question

Solve each equation

1.0=x^2-7x-18

2. x^2 + 10x = 39

3. 0= x^2-10x+12


4. 2x^2+4x =0

5. 3x^2 -22 +7=0

show work​

Answer 1

Explanation:

1.

`0 = {x}^(2) - 7x - 18 \\ 0 = {x}^(2) + 2x - 9x - 18 \\ 0 = x(x + 2) - 9(x + 2) \\ 0 = (x + 2)(x - 9) \\ \\ \\ (x + 2) = 0 \: \: \: \: or \: \: \: \: (x - 9) = 0 \\ \\if \: \:x + 2 = 0 \\x = 0 - 2 \\ x = (- 2) \\ \\ if \: \:x - 9 = 0 \\ x = 0 + 9 \\ x = 9 \\`