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Solution.

Given equation is x^{2} - 36 = 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(1)(-36)

Discriminant =

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Function: _error_handler

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Function: _error_handler

File: /var/www/quadraticequation.org/application/controllers/Practice.php

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File: /var/www/quadraticequation.org/application/views/practice/quadratic-equation-solution.php

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Function: _error_handler

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File: /var/www/quadraticequation.org/application/views/practice/quadratic-equation-solution.php

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Function: _error_handler

File: /var/www/quadraticequation.org/application/controllers/Practice.php

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Backtrace:

File: /var/www/quadraticequation.org/application/views/practice/quadratic-equation-solution.php

Line: 58

Function: _error_handler

File: /var/www/quadraticequation.org/application/controllers/Practice.php

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Function: require_once

Severity: Notice

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Filename: practice/quadratic-equation-solution.php

Line Number: 58

Backtrace:

File: /var/www/quadraticequation.org/application/views/practice/quadratic-equation-solution.php

Line: 58

Function: _error_handler

File: /var/www/quadraticequation.org/application/controllers/Practice.php

Line: 87

Function: view

File: /var/www/quadraticequation.org/index.php

Line: 315

Function: require_once

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`) + √144 |

2(1) |

= |
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File: /var/www/quadraticequation.org/application/controllers/Practice.php
File: /var/www/quadraticequation.org/index.php |

2 |

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Filename: practice/quadratic-equation-solution.php

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Backtrace:

File: /var/www/quadraticequation.org/application/views/practice/quadratic-equation-solution.php

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Function: _error_handler

File: /var/www/quadraticequation.org/application/controllers/Practice.php

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= 6 |

x_{2} = | −b - √D |

2a |

= | −(0`) - √144 |

2(1) |

= |
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2 |

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File: /var/www/quadraticequation.org/application/controllers/Practice.php

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= -6 |

Sum of roots = -b/a

Sum of roots = -(0`)/(1)

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Filename: practice/quadratic-equation-solution.php

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Backtrace:

File: /var/www/quadraticequation.org/application/views/practice/quadratic-equation-solution.php

Line: 148

Function: _error_handler

File: /var/www/quadraticequation.org/application/controllers/Practice.php

Line: 87

Function: view

File: /var/www/quadraticequation.org/index.php

Line: 315

Function: require_once

Product of roots = c/a

Product of roots = (-36)/(1)

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