Mathematics
Grade10
Easy

Question

x squared plus 8 x plus c .Find the value of ‘c’ that makes the expression  a perfect square trinomial.

  1. 12
  2. 14
  3. 16
  4. 18

hintHint:

8 over 2 equals 4 text  and  end text 4 squared equals 16

The correct answer is: 16


    Given the quadratic equation, x squared plus 8 x plus c
    Let us solve this
    Since 8 over 2 equals 4 text  and  end text 4 squared equals 16
    Now we convert  x squared plus 8 x plus 16 into binomial squared  open parentheses x space plus space 4 close parentheses squared
    So, here the ‘c’ value is 16, which makes the expression a perfect square trinomial.

    Related Questions to study

    Grade10
    Mathematics

    The coordinates of the vertex of the parabola, whose equation is y = 2x2 + 4x - 5 are:

    The other method to find the vertex of a parabola is as We know that the x-coordinate of a vertex, (i.e) h is -b/2a. Now, substitute the x-coordinate value in the given standard form of the parabola equation y=ax2+bx+c, we will get the y-coordinate of a vertex.

    The coordinates of the vertex of the parabola, whose equation is y = 2x2 + 4x - 5 are:

    MathematicsGrade10

    The other method to find the vertex of a parabola is as We know that the x-coordinate of a vertex, (i.e) h is -b/2a. Now, substitute the x-coordinate value in the given standard form of the parabola equation y=ax2+bx+c, we will get the y-coordinate of a vertex.

    Grade10
    Mathematics

    Find the solution of quadratic equation 8 x squared minus 10 equals 54 using square roots.

    Find the solution of quadratic equation 8 x squared minus 10 equals 54 using square roots.

    MathematicsGrade10
    Grade10
    Mathematics

    Find the solution of quadratic equation 6 x squared minus 13 equals 23 using square roots.

    Find the solution of quadratic equation 6 x squared minus 13 equals 23 using square roots.

    MathematicsGrade10
    parallel
    Grade10
    Mathematics

    Find the solution of quadratic equation x squared plus 1 equals 1 using square roots.

    Find the solution of quadratic equation x squared plus 1 equals 1 using square roots.

    MathematicsGrade10
    Grade10
    Mathematics

    Determine the solutions of each of the quadratic equations by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

    Determine the solutions of each of the quadratic equations by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

    MathematicsGrade10
    Grade10
    Mathematics

    Determine the solutions of each of the quadratic equations by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

    Determine the solutions of each of the quadratic equations by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

    MathematicsGrade10
    parallel
    Grade10
    Mathematics

    Determine the solutions of the quadratic equation by inspecting the table of x and y values.

    Determine the solutions of the quadratic equation by inspecting the table of x and y values.

    MathematicsGrade10
    Grade10
    Mathematics

    Determine the type of solution of the quadratic equation x squared minus x plus 41 equals 0.

    Determine the type of solution of the quadratic equation x squared minus x plus 41 equals 0.

    MathematicsGrade10
    Grade10
    Mathematics

    Find the discriminant of the quadratic equation 5 x squared minus 8 x plus 1 equals 0.

    Find the discriminant of the quadratic equation 5 x squared minus 8 x plus 1 equals 0.

    MathematicsGrade10
    parallel
    Grade10
    Mathematics

    Draw the graph for the quadratic equation x squared minus 2.5 x plus 1 equals 0. Give answers correct to 1 decimal place where appropriate.

    Draw the graph for the quadratic equation x squared minus 2.5 x plus 1 equals 0. Give answers correct to 1 decimal place where appropriate.

    MathematicsGrade10
    Grade10
    Mathematics

    Determine the solutions of the quadratic equation by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

    Determine the solutions of the quadratic equation by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

    MathematicsGrade10
    Grade10
    Mathematics

    Find the solutions using graph for the quadratic equation x squared minus 7 x plus 4 equals 0.

    Find the solutions using graph for the quadratic equation x squared minus 7 x plus 4 equals 0.

    MathematicsGrade10
    parallel
    Grade10
    Mathematics

    Find the type of solutions for the quadratic equation x squared plus 12 x minus 45 equals 0.

    Find the type of solutions for the quadratic equation x squared plus 12 x minus 45 equals 0.

    MathematicsGrade10
    Grade10
    Mathematics

    Find the discriminant of the quadratic equation x squared minus 2 x plus 3 equals 0.

    Find the discriminant of the quadratic equation x squared minus 2 x plus 3 equals 0.

    MathematicsGrade10
    Grade10
    Mathematics

    Find the discriminant of the quadratic equation x squared minus 4 x plus 5 equals 0.

    Find the discriminant of the quadratic equation x squared minus 4 x plus 5 equals 0.

    MathematicsGrade10
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.