Answer:
C. 3
Step-by-step explanation:
3x² + 4x - 2 = 0
[-4 +- sqrt(4² - 4(3)(-2))]/(2×3)
[-4 +- sqrt(40)]/6
[-4 +- 2sqrt(10)]/6
Simplifying, we get:
[-2 +- sqrt(10)]/3
By using a quadratic equation the missing denominator of the solution is 4 plus or minus the square root of 2, all over is (B).2
For a Quadratic Equation [tex]$a x^{2}+b x+c=0$[/tex]
By Formula Method we get
[tex]$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$[/tex]
So we have a Quadratic Equation that is [tex]$2 x^{2}-8 x+7=0$[/tex]
On Comparing we get,
a = 2
b = -8
c = 7
By substituting a, b, and c values we get
[tex]&x=\frac{-(-8) \pm \sqrt{(-8)^{2}-4(2)(7)}}{2(2)} \\[/tex]
[tex]&x=\frac{8 \pm \sqrt{64-56}}{4} \\[/tex]
[tex]&x=\frac{8 \pm \sqrt{8}}{4} \\[/tex]
[tex]&x=\frac{8 \pm 2 \sqrt{2}}{4} \\[/tex]
[tex]&x=2\left(\frac{4 \pm \sqrt{2}}{4}\right) \\[/tex]
[tex]&x=\frac{4 \pm \sqrt{2}}{2}[/tex]
Therefore, by using a quadratic equation the missing denominator of the solution 4 plus or minus the square root of 2, all over is (B).2
Hence the correct answer is option B.2
To learn more about Formula Method refer to:
https://brainly.com/question/22080275
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