Question

X squared + 14 x + 17 = negative 96

Answer 1

$\text{Hey there!}$

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

$\mathsf{Use\ this\ formula\ to\ solve: x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}}$

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

$\mathsf{bx=14x}$

$\mathsf{c=17}$

$\mathsf{0=96}$

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

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

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

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

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

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

$\mathsf{Use\ the\ 2^{nd}\ formula\ to\ solve}$

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

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

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

$\mathsf{x=\dfrac{-14\pm\sqrt{512}}{2}}$

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

$\boxed{\mathsf{Thus\ your\ answer\ is: x=-7+8\sqrt{2}\ or\ x = -7-8\sqrt{2}}}\checkmark$

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

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