algebra

how many real number solutions does the equation have?
0=2x^2-20x+50
A. 1 solution
B. 2 solutions
C. no solutions**
D. infinite solutions

  1. 👍
  2. 👎
  3. 👁
  1. a x² + b x + c= 0

    2 x² - 20 x + 50 = 0

    In this case:

    a = 2 , b = - 20 , c = 50

    The discriminant:

    d = b² - 4 a c

    d = (- 20)² - 4 ∙ 2 ∙ 50

    d = 400 - 400 = 0

    If d < 0 there are no real root

    If d = 0 the roots are real and equal ( one real root )

    If d > 0 the roots are real and unequal ( two distinct real roots )

    In this case d = 0 so one real root , 1 solution.

    Answer A

    1. 👍
    2. 👎
  2. nope. why did you just guess?
    the discriminant is 20^2 - 4*2*50 = 400 - 400 = 0
    In fact,
    2x^2-20x+50 = 2(x^2-10x+25) = 2(x-5)^2
    so both roots are x=5

    1. 👍
    2. 👎
    👤
    oobleck

Respond to this Question

First Name

Your Response

Similar Questions

  1. College Algebra

    Consider only the discriminant, b2 - 4ac, to determine whether one real-number solution, two different real-number solutions, or two different imaginary-number solutions. 2x2 = -2 -5 Thank you

  2. ALGEBRA CHECK ANSWERS

    Solve each equation by graphing the related function. If the equation has no real-number solution, write no solution. NOTE: when I write + it has a minus on the bottom too x^2+7=0 a. x= +7 b. x = +3.5 c. x= 0 d. no solution ***

  3. algerba

    What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has? What are the solutions to the quadratic equation 4(x +

  4. Mathxxx!!!

    1. How many solutions does the equation have? 4x+3=2(2x+9) a.one solution b.no solution c. infinite number of solutions d. impossible to determine 2. How many solutions does the equation have? 4x+19=-9-6x a.one solution b.no

  1. Algebra

    Compute the value of the discriminant and give the number of real solutions to the quadratic equation. 2x^2+5x-7=0 Discrimnant= number of real solutions=

  2. math

    Decide whether each equation has one solution, no solutions, or infinitely many solutions. 1. 2(x – 3) = 2x a.one solution b.no solutions c.infinitely many solutions 2. 3(y – 3) = 2y – 9 + y a.one solution b.no solutions

  3. ALGEBRA

    The table below shows two equations: Equation 1 |3x - 1| + 7 = 2 Equation 2 |2x + 1| + 4 = 3 Which statement is true about the solution to the two equations? Equation 1 and equation 2 have no solutions. Equation 1 has no solution

  4. Math 111

    Use the discriminant to determine the number and type of solutions for the given equation. Either A, B, C, OR D 2x^2 = 7x - 8 A One (repeated) rational solution B Two irrational solutions C Two imaginary solutions D Two rational

  1. math

    Use the discriminant to determine whether the quadratic equation has two unequal real​ solutions, a repeated real​ solution, or no real​ solution, without solving the equation. 5x^2-2x+6=0 A. Two Unequal Solutions B. One

  2. math

    Determine the number of solutions for the following system of equations 2x+5y=7 10y=-4x+14 1)Exactly one solution 2)No solutions 3)infinite solutions 4)Exactly 2 solutions I solved the equations and got y=7-2X/5 y=-4X+14/10 and I

  3. Algebra

    how many real number solutions does this equation have? -7x^2+6x+3=0 How many real number solutions does the equation have? 0=3x^2+18x+27

  4. Math help :(

    I don't get any of these practice problems. 5. 2(x – 3) = 2x one solution no solutions infinitely many solutions 6. 3(y – 3) = 2y – 9 + y one solution no solutions infinitely many solutions 7. 10x – 2 – 6x = 3x – 2 + x

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