The value of a is 10 by solving the quadratic equation by completing the square method.
In this question,
Completing the square is a method in algebra that is used to write a quadratic expression in a way such that it contains the perfect square. It is a method that is used for converting a quadratic expression of the form ax^2 + bx + c to the vertex form a(x - h)^2 + k.
The quadratic equation is
10x^2 + 40x - 13 = 0
Solving the quadratic equation by completing the square as
Step 1:
10x^2 + 40x = 13
Step 2:
10(x^2 + 4x) = 13
Thus on comparing the step 2 with the equation a(x^2 + 4x) = 13, the value of a is 10.
Hence we can conclude that the value of a is 10 by solving the quadratic equation by completing the square method.
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