What are the roots of the equation x^2-5x+1=0 ?

guringpw 2021-12-15 Answered
What are the roots of the equation x25x+1=0 ?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

lalilulelo2k3eq
Answered 2021-12-16 Author has 38 answers
You can solve this equation using 2 methods, one being completing the square method, and the other by using the quadratic formula.
1) Commencing completing the square method,
x25x+1=0
Subtract 1 on both sides,
x25x=1
Add 6.25 on both sides,
x25x+6.25=1+6.25
Apply perfect quadratic square formula,
(x2.5)2=5.25
Square root both sides,
x2.5=±5.25
Add 2.5 to both sides,
x=±5.25+2.5
Hence,
x=4.79128784 or 0.20871215
2) Commencing quadratic formula method,
x25x+1=0
Quadratic equation,
ax2+bx+c=0
Substitute a=1,b=5,c=1 into the quadratic formula.
x=5±212
Hence,
x=4.79128784 or 0.20871215
Not exactly what you’re looking for?
Ask My Question
censoratojk
Answered 2021-12-17 Author has 46 answers
Find the roots:
x25x+1=0 quadratic equation
The standard form for a quadratic equation is ax2+bx+c=0, where a=1,b=5 and c=1. Note: a0
Solve this quadratic equation using the quadratic formula:
x=b±b24ac2a
Substitute the known values into the formula.
x=(5)±(5)241121
Simplify.
x=5±2542
Simplify.
x=5±212
Solutions for x. roots
x=5+212,5212
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2020-10-18
Find a least squares solution of Ax=b by constructing and solving the normal equations.
A=[311114],b[111]
x=?
asked 2021-05-13

A movie stuntman (mass 80.0kg) stands on a window ledge 5.0 mabove the floor. Grabbing a rope attached to a chandelier, heswings down to grapple with the movie's villian (mass 70.0 kg), whois standing directly under the chandelier.(assume that thestuntman's center of mass moves downward 5.0 m. He releasesthe rope just as he reaches the villian).
a) with what speed do the entwined foes start to slide acrossthe floor?
b) if the coefficient of kinetic friction of their bodies withthe floor is 0.250, how far do they slide?

asked 2021-10-28

which of the following diophantine equations cannot be solved
(1) 6x+51y=22
(2) 33x+14y=115
(3) 14x+35y=93

asked 2021-12-05
Determine whether the equation is always, sometimes, or never true.
2/3x+4=2x
asked 2022-08-02
Can you please explain how to solve it
2 ( 3 z + 4 ) = 2 ( 3 z 2 ) + 13
asked 2022-07-27
Find all solutions of the equation.
2 cos x + 2 = 0
asked 2022-09-20
1. Provide a rigorous definition of a lower bound of a subset of real numbers.
2. Provide a rigorous definition of a infimum of a subset of real numbers.
3. Show that an infimum of a subset of real numbers is unique.
4. Show that a subset E of R has an upper bound only if inf λ E = λ sup E for any negative r R