Pre-Calc

How do I solve this equation?

x+5 = sqrt(x+5)

  1. 👍 0
  2. 👎 0
  3. 👁 92
  1. 1. Square both sides.
    (x+5)^5=(x+5)
    2. FOIL the left side.
    x^2+10x+25=x+5
    3. Subtract x and 5 from both sides.
    x^2+9x+20=0
    4. Factor.
    (x+5)(x+4)=0
    5. Solve using the zero product property.
    x+5=0 x+4=0
    x=-5 and x=-4

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    am I right? 1. Simplify radical expression sqrt 50 5 sqrt ^2*** 2 sqrt ^5 5 sqrt ^10 5 2. Simplify the radical expression sqrt 56x^2 28x 2x sqrt 14*** 2x sqrt 7 sqrt 14x2 3. Simplify the radical expression. sqrt 490y^5w^6 2 sqrt

    asked by Carl Wheezer on May 7, 2017
  2. math-Inverse functions

    f(x)=-4x-2 & g(x)=5x-6. Find (f*g) and state domain. f(x)-x^2-1 what is the equation for f^-1(x)? f(x)=3x+2, find f(f^-1(14)). f(x)=4x+7 and g(x)=3x-5 find (f*g)(-4) f(x)=sqrt x+3 what is equation for f^-1(x)? Graph y=sqrt x-2 +5

    asked by Anonymous on January 31, 2009
  3. ALGEBRA 1!PLZ HELP!

    Use the Substitution method to solve the system of equations. y - 2x = -5 3y - x = 5 Solve the first equation for y. y = 2x-5 Substitute that for y in the second equation and solve for x. Then use the value of x to substitute back

    asked by SANDRO! on November 6, 2006
  4. Calculus

    In these complex exponential problems, solve for x: 1)e^(i*pi) + 2e^(i*pi/4)=? 2)3+3=3i*sqrt(3)=xe^(i*pi/3) MY attempt: I'm not really sure of what they are asking. For the 1st one I used the e^ix=cos(x)+i*sin(x) and got

    asked by Lisa on January 15, 2013
  5. Calculus (Please check my work!)

    Suppose that y = f(x) = x^2 - 4x + 4. Then on any interval where the inverse function y = f-1(x) exists, thederivative of y = f-1(x) with respect to x is: (Hint: x^2 - 4x + 4 can be factored and rewritten as "something" squared.)

    asked by Anonymous on March 15, 2012
  1. Differential Equations

    The velocity v of a freefalling skydiver is well modeled by the differential equation m*dv/dt=mg-kv^2 where m is the mass of the skydiver, g is the gravitational constant, and k is the drag coefficient determined by the position

    asked by Erica on January 24, 2013
  2. Solving for x

    ((2X-14Cos45)/(49+X^2-14XCos45))+0.3536 = 0 Solve to find the value of X Change cos 45 to sqrt 2 and rewrite the equation in the form a x^2 + bx + c = 0 Start out by rewriting it as 2x - 9.8995 = (-0.3536)(49 + x^2 - 9.8995 x)

    asked by Sarah on June 15, 2005
  3. math,correction

    i am really trying is this correct. solve: 5(x-2)^2 = 3 MY ANSWER THAT I GOT IS: X = 2 +- (SQRT (3) )/(5) no. 5(x-2)^2 = 3 (x-2)^2 = 3/5 x-2 = +- sqrt (3/5) x= 2 +- sqrt (3/5) so the whole fraction of 3/5 is inside the sqrt yes

    asked by jasmine20 on April 15, 2007
  4. Physics check

    A performer, seated on a trapeze, is swinging back and forth with a period of 9.55 s. If she stands up, thus raising the center of mass of the trapeze + performer system by 20.0 cm, what will be the new period of the system? Treat

    asked by COFFEE on April 12, 2007
  5. Calculus

    2sin(2theta) + sqrt(3) = 0 interval (0,2pi) How do I solve this? I thought about maybe subtracting the sqrt(3) from both sides, so that i would have 2sin(2theta) = -sqrt(3) Then maybe dividing by two? sin(2theta) = -sqrt(3)/2 Am I

    asked by Hannah on September 20, 2011
  6. Precalculs

    I have no idea how to do these type of problems. -------Problem-------- Solve each equation on the interval 0 less than or equal to theta less than 2 pi 42. SQRT(3) sin theta + cos theta = 1 ---------------------- There is an

    asked by Kate on February 28, 2010

You can view more similar questions or ask a new question.