3 years ago

Solve x2 − 7x = −13.

Mathematics

1 answer:

Ket [755]3 years ago

6 0

Answer:

$\frac{7+\sqrt{-3} }{2} \\\\\frac{7-\sqrt{-3} }{2}$

Step-by-step explanation:

<u>Step 1: Use the Quadratic formula to solve</u>

<u /> $x^2 - 7x = -13$

$x^2 -7x+13 = -13 +13$

$x^2-7x+13=0\\$

$\frac{-b+\sqrt{b^2-4ac} }{2a} \\\frac{-b-\sqrt{b^2-4ac} }{2a}$

$\frac{-(-7)+\sqrt{(-7)^2-4(1)(13)} }{2(1)} \\\frac{-(-7)-\sqrt{(-7)^2-4(1)(13)} }{2(1)}$

$\frac{7+\sqrt{49-52} }{2} \\\\\frac{7-\sqrt{49-52} }{2}$

Answer: $\frac{7+\sqrt{-3} }{2} \\\\\frac{7-\sqrt{-3} }{2}$

You might be interested in

Suppose you could climb to the top of the Great Pyramid of Giza in Egypt. Which path would be shorter, climbing a lateral edge o

valentinak56 [21]

Check the picture below.

if you go from the slant height, the path is shorter to the top, since the hypotenuse is the longest of all sides in a right-triangle.

that said, is shorter but is also steeper, so the lateral edge is longer but less steep and thus a bit simpler though longer, but we're only asked on which is shorter.