Question

Please help me :(

Answer 1

Answer:

Step-by-step explanation:

x² + 6x - 4 = 0

Add 4 to both sides

x²- 6x  = 4

Take the coefficient of x and divide it by 2.  6 ÷ 2 = 3

Now square the number that we got after dividing by 2. 3² = 9

Add 9 to both side of the equation.

x² - 6x + 9 = 4 + 9

x² - 6x + 9 = 13

{ This is in a² - 2ab + b² form}

x² - 2*x *3 + 3² = 13

(x  - 3)² = 13

To find the solution, take square root

x -3 =  √13

x - 3 = ± 3.61

x = 3.61 +3    ; x = -3.61 + 3

x = 6.61    ;   x = -0.61

2)x² - 10x + 14 = 0

x² - 10x = -14

x² - 10x + 25 = -14 + 25

x² - 2*x*5 + 5² = 11

(x - 5)² = 11

Solution

x - 5 = √11

x - 5 = ±3.32

x = 3.32 +5  ; x = -3.32 + 5

x = 8.32    ; x = 1.68

x = 8.32