The solutions of the equation y = x² + 10x + 9 are -9 and -1.
Factorisation
What is factorisation?
Instead of expanding the bracket and turning the equation into a product of components that cannot be further reduced, factorisation involves decreasing the bracket of a quadratic equation.
What is graphing?
A diagram that shows the relationship between different sets of numbers or quantities using a succession of dots, lines, etc. that are drawn in respect to an axes set.
Calculation of factors by factorisation:
The given expression is
x² + 9 = -10x
Rewrite it as,
x² + 10x +9 = 0
x² + 9x + x +9 = 0
(x + 9)(x +1) = 0
x = -9
x = -1
Calculation of factors by graphing:
The graph for the equation is attached.
The equation for which graph is drawn is
x² + 10x +9 = y
As, it is clear from the graph that the curve intersects x-axis at -1 and-9.
Therefore, the solutions for the equation y = x² + 10x + 9 are -9 and -1.
To know more about how to find points on the graph?, here
https://brainly.com/question/26865
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