Completando trinomio cuadrado perfecto de 25x2 - 5x - 6 = 0?
Completando trinomio cuadrado perfecto de 25x2 - 5x - 6 = 0.
Completando trinomio cuadrado perfecto de 25x2 - 5x - 6 = 0.
Pregunta de Matemáticas · 1 respuesta · 5 votos · mejor respuesta de Rosieliza
En resumen
<img src="https://tex.z-dn.net/?f=25x%5E2-5x-6%3D0" /> <img src="https://tex.z-dn.net/?f=%5Cmathrm%7BPara%5C%3A%7D%5Cquad%20a%3D25%2C%5C%3Ab%3D-5%2C%5C%3Ac%3D-6" /> <img src="https://tex.z-dn.net/?
<img src="https://tex.z-dn.net/?f=25x%5E2-5x-6%3D0" />
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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B-%5Cleft%28-5%5Cright%29%2B%5Csqrt%7B%5Cleft%28-5%5Cright%29%5E2-4%5Ccdot%20%5C%3A25%5Cleft%28-6%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A25%7D%3D%5Cfrac%7B5%2B%5Csqrt%7B%5Cleft%28-5%5Cright%29%5E2-4%5Ccdot%20%5C%3A25%5Cleft%28-6%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A25%7D" />
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<img src="https://tex.z-dn.net/?f=%3D%5Cfrac%7B5-%5Csqrt%7B%5Cleft%28-5%5Cright%29%5E2-%5Cleft%28-6%5Cright%29%5Ccdot%20%5C%3A4%5Ccdot%20%5C%3A25%7D%7D%7B50%7D%3D%5Cfrac%7B5-%5Csqrt%7B25-%5Cleft%28-6%5Cright%29%5Ccdot%20%5C%3A100%7D%7D%7B50%7D" />
<img src="https://tex.z-dn.net/?f=%3D%5Cfrac%7B5-25%7D%7B50%7D%3D-%5Cfrac%7B20%7D%7B50%7D%3D-%5Cfrac%7B2%7D%7B5%7D" />
<img src="https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%7D%7B5%7D%2C%5C%3Ax%3D-%5Cfrac%7B2%7D%7B5%7D" />.
<img src="https://tex.z-dn.net/?f=25x%5E2-5x-6%3D0" /> <img src="https://tex.z-dn.net/?f=%5Cmathrm%7BPara%5C%3A%7D%5Cquad%20a%3D25%2C%5C%3Ab%3D-5%2C%5C%3Ac%3D-6" /> <img src="https://tex.z-dn.net/?
(x + 9)² = x² + 2(x)(9) + 9² = x² + 18x + 81 (3x + 1)² = (3x)² + 2(3x)(1) + 1² = 9x² + 6x + 1 (2m + 5)² = (2m)² + 2 (2m)(5) + 5² = 4m² + 20m + 25.
Respuesta : Explicación paso a paso : Ralizaremos un pequeño artificio matemático sumaremos y restaremos el número 5 así no afectará en nada al problema .