ECUACIONES DE SEGUNDO GRADO POR FORMULA GENERAL Super facil -Para principiantes

Summary

Daniel Carrión teaches how to solve quadratic equations using the quadratic formula. He first reviews how to identify an equation’s coefficients, then works through an example.

Key concepts

• A quadratic equation contains an unknown raised to the second power. Its standard form is ax² + bx + c = 0.
• The coefficients are:
  • a: the number multiplying x²
  • b: the number multiplying x
  • c: the constant term
• Keep each coefficient’s sign. If no number is written before a term, its coefficient is understood to be 1. For example, x² has a coefficient of 1, and −x has a coefficient of −1.
• The quadratic formula is:

[ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} ]

The ± means calculate twice—once with plus and once with minus—to find up to two solutions.

Worked example

The subtitles contain inconsistent equation signs, but the calculations and verification indicate that the example is x² + 2x − 8 = 0.

1. Identify the coefficients: a = 1, b = 2, c = −8.
2. Substitute them into the formula:

[ x=\frac{-2\pm\sqrt{2^2-4(1)(-8)}}{2(1)} ]

1. Simplify the expression under the square root:

[ 4+32=36 ]

So:

[ x=\frac{-2\pm6}{2} ]

1. Calculate both solutions:
   • (x_1 = (-2+6)/2 = 2)
   • (x_2 = (-2-6)/2 = -4)
2. Check each value by substituting it into the original equation. Both make the left-hand side equal zero, confirming the solutions.

The video ends by inviting viewers to try additional exercises and share their answers.

Speaker/source featured

• Daniel Carrión — instructor and presenter.