Find variable P:

PP plus P x P plus P = 160


P =  8


10 P+P+P P+P=160 10P+P+PP+P=160  10 P+P+P P+P=160 P2+12P160=0  a=1;b=12;c=160 D=b24ac=12241(160)=784 D>0  P1,2=b±D2a=12±7842 P1,2=12±282 P1,2=6±14 P1=8 P2=20   Factored form of the equation:  (P8)(P+20)=0 P>0 P=P1=8 s=88+8 8+8=16010 \cdot \ P+P+P \cdot \ P+P=160 \ \\ 10*P+P+P*P+P=160 \ \\ \ \\ 10 \cdot \ P+P+P \cdot \ P+P=160 \ \\ P^2 +12P -160=0 \ \\ \ \\ a=1; b=12; c=-160 \ \\ D=b^2 - 4ac=12^2 - 4\cdot 1 \cdot (-160)=784 \ \\ D>0 \ \\ \ \\ P_{1,2}=\dfrac{ -b \pm \sqrt{ D } }{ 2a }=\dfrac{ -12 \pm \sqrt{ 784 } }{ 2 } \ \\ P_{1,2}=\dfrac{ -12 \pm 28 }{ 2 } \ \\ P_{1,2}=-6 \pm 14 \ \\ P_{1}=8 \ \\ P_{2}=-20 \ \\ \ \\ \text{ Factored form of the equation: } \ \\ (P -8) (P +20)=0 \ \\ P>0 \ \\ P=P_{1}=8 \ \\ s=88+8 \cdot \ 8+8=160

Checkout calculation with our calculator of quadratic equations.

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!

Tips to related online calculators
Looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

You need to know the following knowledge to solve this word math problem:

Next similar math problems:

  1. Equation 23
    reciprocal_1 Find value of unknown x in equation: x+3/x+1=5 (problem finding x)
  2. Evaluation of expressions
    eq222_10 If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
  3. Square root 2
    parabola_2 If the square root of 3m2 +22 and -x = 0, and x=7, what is m?
  4. Quadratic equation
    kvadrat_2 Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
  5. The product
    eq222 The product of a number plus that number and its inverse is two and one-half. What is the inverse of this number
  6. Variation equation
    fun2_4 Solve combinatorics equation: V(2, x+8)=72
  7. Roots
    parabola Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
  8. Equation
    calculator_2 Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
  9. Solve 3
    eq2_4 Solve quadratic equation: (6n+1) (4n-1) = 3n2
  10. Discriminant
    Quadratic_equation_discriminant Determine the discriminant of the equation: ?
  11. Equation with abs value
    abs_graph How many solutions has the equation ? in the real numbers?
  12. Quadratic inequation
    eq2_8 If 5x + x² > 100, then x is not
  13. Tubes
    pipes_1 Iron tubes in the warehouse are stored in layers so that each tube top layer fit into the gaps of the lower layer. How many layers are needed to deposit 100 tubes if top layer has 9 tubes? How many tubes are in bottom layer of tubes?
  14. Quadratic equation
    Parabola_tangent Quadratic equation ? has roots x1 = -26 and x2 = -86. Calculate the coefficients b and c.
  15. Cinema 4
    cinema_2 In cinema are 1656 seats and in the last row are 105 seats , in each next row 3 seats less. How many are the total rows in cinema?
  16. Men, women and children
    regiojet On the trip went men, women and children in the ratio 2:3:5 by bus. Children pay 60 crowns and adults 150. How many women were on the bus when a bus was paid 4,200 crowns?
  17. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?