(5a - 2)² - (3a + 1)² - a² = 60?

Hola.

(5a - 2)² - (3a + 1)² - a² = 60 (a + b)² = a² + 2ab + b² (a - b)² = a² - 2ab + b²

(25a² - 20a + 4) - (9a² + 6a + 1) - a² = 60

25a² - 20a + 4 - 9a² - 6a - 1 - a² = 60

25a² - 9a² - a² - 6a - 20a + 4 - 1 = 60

25a² - 10a² - 26a + 4 - 1 = 60

15a² - 26a + 3 = 60

15a² - 26a + 3 - 60 = 0

15a² - 26a - 57 = 0

Resolviendo como una ecuación de segundo grado.

Ax² + bx + c = 0

a = 15, b = - 26, c = - 57

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