Question

Are the solutions of the quadric x^2 -7x+4

Answer 1

Hello!


`x^(2) -7x+4`

This quadratic equation cannot be factored, so we must use the Quadratic Formula to solve it. The Quadratic Formula:
`\frac{-b \sqrt{ b^(2)-4ac } }{2a}`.

Here, a = 1, b = -7, and c = 4; let's plug in our values and solve.


`\frac{-7 \sqrt{ (-7)^(2)-4(1)(4) } }{2(1)}`


`(-7 √(49-16) )/(2)`


`(-7 √(33) )/(2)`



`(-7+5.7446)/(2)`
or

`(-7-5.7446)/(2)`


`3.5 +2.8723 or 3.5 - 2.8723`

Answer:
x = 6.37 or x = 0.63