Question

X squared + 14 x + 17 = negative 96

Answer 1

`\text{Hey there!}`

`\mathsf{The\ quadratic\ formula\ is: ax^2+bx+c=0}`

`\mathsf{Use\ this\ formula\ to\ solve: x=(-b\pm√(b^2-4ac))/(2a)}`

`\mathsf{ax^2=x^2}`

`\mathsf{bx=14x}`

`\mathsf{c=17}`

`\mathsf{0=96}`

`\mathsf{x^2+14x+17=96}`

`\text{Subtract by 96 on your sides}`

`\mathsf{x^2+14x+17-96=96-96}`

`\text{Cancel out: 96 - 96 because it gives you the result of 0}`

`\text{Keep: 17 - 96 because it helps us solve for our equation. 17 - 96 = -79}`

`\mathsf{x^2+14x-79=0}`

`\mathsf{Use\ the\ 2^(nd)\ formula\ to\ solve}`

`\mathsf{x=(-14)\pm((14)^2-4(1)(-79))/(2)(1))}`

`\mathsf{(14)^2-4(1)(-79)=196-4(1)(-79)\rightarrow512}`

`\mathsf{2(1)=2}`

`\mathsf{x=(-14\pm√(512))/(2)}`

`\mathsf{Solve\ that\ above\ and\ you\ have\ your\ result!}`

`\boxed{\mathsf{Thus\ your\ answer\ is: x=-7+8√(2)\ or\ x = -7-8√(2)}}\checkmark`

`\text{Good luck on your assignment and enjoy your day!}`

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`\frak{LoveYourselfFirst:)}`