Question

Solve x squared - 12x + 36 = 0 using the Quadratic formula.

Answer 1

x = 6

Explanation:

Equation: x² - 12x + 36 = 0

Quadratic formula: ax² + bx + c = 0 --> x = (-b ± √(b² - 4ac))/2a

Substitute: x = (12 ± √(12² - 4 * 36))/2

Multiply: x = (12 ± √(144 - 144))/2

Subtract: x = (12 ± 0)/2

Solve: x = 6

Answer 2

The value of x = 6

Explanation:

Points to remember

Solution of a quadratic equation ax² + bx + c = 0

x = [-b ± √(b² - 4ac)]/2a

It is given that,

x² -12x + 36 = 0

To find the solution of given equation

Here a = 1, b = -12 and c = 36

x = [-b ± √(b² - 4ac)]/2a

= [--12 ± √((-12)² - 4*1*36)]/2*1

= [12 ± √(144 - 144)]/2

= 12/2 = 6

The value of x = 6