x2+19x+90 find zero
Answers
Step-by-step explanation:
x²+19x+90
using middle term split method
x²+15x+4x+90
x(x+15)+4(x+15)
(x+15)(x+4)
x take two values
-4, -15
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Given,
x² + 19x + 90 = 0
To find,
Zero of the equation.
Solution,
It can be seen clearly, that the given is a quadratic equation, that is,
x² + 19x + 90 = 0,
which is of the form
ax² + bx + c = 0.
The zeros or, solution to a quadratic equation can be found simply by the factorization method or by using the quadratic formula.
Using the factorization method for the given equation,
x² + 19x + 90 = 0
x² + 10x + 9x + 90 = 0
x(x + 10) + 9(x + 10) = 0
(x + 9)(x + 10) = 0
So from here, we can see that,
x = -9, and
x = -10.
Therefore, the zeros or, the solution to the quadratic equation (x² + 19x + 90 = 0) will be x = -9, -10.