Mathematics
Grade10
Easy

Question

Find the solutions for the equation x squared plus 6 x minus 9 equals 0

  1. negative 3 plus-or-minus 3 square root of 2
  2. 3 plus 3 square root of 2
  3. negative 1 plus-or-minus 3 square root of 2
  4. 1 plus-or-minus 3 square root of 2

hintHint:

Factorisation is a method of breaking the arithmetic algebraic expressions into the product of their factors.

The correct answer is: negative 3 plus-or-minus 3 square root of 2


    Given equation x squared plus 6 x minus 9 equals 0,
    Rewrite the given equation in the form a x squared plus b x equals d
    We get,
    x squared plus 6 x equals 9
    Add 9 on both the sides, as open parentheses 6 over 2 close parentheses squared equals 9, we get
    x squared plus 6 x plus 9 equals 9 plus 9
x squared plus 6 x plus 9 equals 18
left parenthesis x plus 3 right parenthesis squared equals 18
    Take square root on both the sides, we get
    square root of left parenthesis x plus 3 right parenthesis squared end root equals plus-or-minus square root of 18
x plus 3 equals plus-or-minus 3 square root of 2
    Subtracting 3 on both the sides, we get
    x plus 3 minus 3 equals negative 3 plus-or-minus 3 square root of 2
x equals negative 3 plus-or-minus 3 square root of 2
    The solutions are negative 3 plus 3 square root of 2 and negative 3 minus 3 square root of 2
    Hence, the correct option is (a).

    In math, factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number.

    Related Questions to study

    Grade10
    Mathematics

    Find the solutions for the equation x squared minus 10 x plus 12 equals 0

    In math, factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number.

    Find the solutions for the equation x squared minus 10 x plus 12 equals 0

    MathematicsGrade10

    In math, factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number.

    Grade10
    Mathematics

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

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

    MathematicsGrade10
    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.

    parallel
    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
    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
    parallel
    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
    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
    parallel
    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
    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
    parallel
    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
    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
    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.