Question

Solve the quadratic equation x²+x-2​

Answer 1

Explanation:

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Answer 2

x = 1

x = -2

Explanation:

Hello!

We can solve the quadratic by factoring the equation.

Standard Form of a Quadratic:
`ax^2 + bx + c = 0`

Given our equation:
`x^2 + x - 2 = 0`

• a = 1
• b = 1
• c = -2

Find two numbers that multiply up to "ac" but add up to "b". The two numbers are 2 and -1. Expand x into 2x and -1x.

Factor by Grouping

• 
  `x^2 + x - 2 = 0`
• 
  `x^2 + 2x - x - 2 = 0`
• 
  `x(x + 2) -1(x + 2) = 0`
• 
  `(x - 1)(x + 2) = 0`

Set each factor to 0 and solve for x:

• 
  `x - 1 = 0\\x = 1`

• 
  `x + 2 = 0\\x = -2`

The solutions for x are 1 and -2.