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Solution.

Given equation is 9x^{2} = 12

Converting given equation into Standard Form of Quadratic Equation. ax^{2} + bx + c = 0

9x^{2} = 12 converted into 9x^{2} + 0x - 12 = 0

Comparing it with the standard Form of Quadratic Equation ax^{2} + bx + c = 0

As we know, discriminant = b^{2} - 4ac

Discriminant = (0)^{2} - 4(9)(-12)

Discriminant = 0 - (-432)

Using quadratic formula

Roots(x_{1}, x_{2}) = | −b ± √ b2 − 4ac |

2a |

Roots(x_{1}, x_{2}) = | −b ± √ D |

2a |

x_{1} = | −b + √D |

2a |

= | −(0) + √432 |

2(9) |

= | 0 + √432 |

18 |

x_{2} = | −b - √D |

2a |

= | −(0) - √432 |

2(9) |

= | 0 - √432 |

18 |

Sum of roots = -b/a

Sum of roots = -(0)/(9)

Product of roots = c/a

Product of roots = (-12)/(9)

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