Respuesta :
Answer:
x = approx. 1.24 or -7.24
Step-by-step explanation:
It's hard to factor directly so we should use the quadratic formula or complete the square. I'm going to go with completing the square.
x²+6x-9=0
x²+6x=9
x²+6x is the same as x²+2·3·x, in order to make this into the algebraic identity (A+B)²=A²+2AB+B², we must add B², or in this case 3² to both sides. (A is x, B is 3)
x²+6x+9=18
(x+3)²= 18
x+3= ±√18
x= ±4.24 -3 (approximately 4.24)
First solution for x = 4.24-3 = 1.24
Second solution for x = -4.24-3 = -7.24
The roots or zeroes of the equation x² + 6x - 9 = 0 will be negative of (3 + 3√2) and negative 3 + 3√2.
What is a factorization?
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The equation is given below.
x² + 6x - 9 = 0
Then the zeroes of the equation will be given by the formula method.
x² + 6x - 9 = 0
a = 1, b = 6, c = -9
Then we have
[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4ac }}{2a}\\\\x = \dfrac{-6 \pm \sqrt{6^2 - 4*1*(-9) }}{2*1}\\\\x = \dfrac{-6 \pm \sqrt{36 + 36 }}{2}\\\\x = \dfrac{-6 \pm \sqrt{2 * 36 }}{2}[/tex]
On further solving, we have
x = (- 6 ± 6√2) / 2
x = - 3 ± 3√2
x = -3 - 3√2, - 3 + 3√2
More about the factorization link is given below.
https://brainly.com/question/6810544
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