Pregunta
Solve the equation using the zero-product property \[ (x-7)(5 x+9)=0 \]
Ask by Reese Rodriquez. in the United States
Feb 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The solutions are \( x = 7 \) and \( x = -\frac{9}{5} \).
Solución
To solve the equation (x - 7)(5x + 9) = 0 using the zero-product property, we set each factor equal to zero:
1. Set x - 7 = 0
Solving this, we get:
x = 7
2. Set 5x + 9 = 0
Solving this, we get:
5x = -9
x = -9/5
Thus, the solutions to the equation are x = 7 and x = -9/5.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución Bonus Knowledge
To solve the equation \((x-7)(5x+9)=0\), we can use the zero-product property, which states that if the product of two factors is zero, at least one of the factors must be zero. Setting each factor to zero gives us two equations to solve: 1. \(x - 7 = 0\) - Adding 7 to both sides, we find \(x = 7\). 2. \(5x + 9 = 0\) - Subtracting 9 from both sides results in \(5x = -9\). - Dividing by 5, we get \(x = -\frac{9}{5}\). Thus, the solutions are \(x = 7\) and \(x = -\frac{9}{5}\).
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
