Hello!
[tex] x^{2} -7x+4[/tex]
This quadratic equation cannot be factored, so we must use the Quadratic Formula to solve it. The Quadratic Formula: [tex] \frac{-b \sqrt{ b^{2}-4ac } }{2a} [/tex].
Here, a = 1, b = -7, and c = 4; let's plug in our values and solve.
[tex] \frac{-7 \sqrt{ (-7)^{2}-4(1)(4) } }{2(1)} [/tex]
[tex] \frac{-7 \sqrt{49-16} }{2} [/tex]
[tex] \frac{-7 \sqrt{33} }{2} [/tex]
[tex] \frac{-7+5.7446}{2}[/tex]
or
[tex] \frac{-7-5.7446}{2} [/tex]
[tex]3.5 +2.8723
or
3.5 - 2.8723[/tex]
Answer:
x = 6.37 or x = 0.63
