Answer:
x=0.428571
Step-by-step explanation:
x2−9x+3=0
-7x=3
x=0.428571
The value of x will be 8.65 or 0.35
Solution:
Given, [tex]x^2-9x+3=0[/tex]
Here, to solve the given equation, we have to use the quadratic formula,
[tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a} \text{ when } a x^{2}+b x+c=0[/tex]
where a=1; b=-9; c=3 and x is the value to be found.
On substituting the values in the equation we get,
[tex]\bold{x=\frac{-(-9)\pm\sqrt{(-9)^2-4\times3\times1}}{2\times1}} \bold{\rightarrow \frac{9\pm\sqrt{81-12}}{2}}}[/tex]
\bold{\Rightarrow \frac{9\pm\sqrt{69}}{2}}}
The square root of 69 is 8.3
On substituting the value in the above equation we get,
[tex]\bold{\Rightarrow \frac{9+8.3}{2}}} \bold{ \text{ or }} \bold{ \frac{9-8.3}{2}}}[/tex]
On solving we get,
[tex]\bold{\Rightarrow \frac{17.3}{2}}} \bold{ \text{ or }} \bold{ \frac{0.7}{2}}}[/tex]
[tex]\bold {\Rightarrow \therefore \text{ x will be }} \bold{8.65} \bold{\text{ or }} \bold{0.35}[/tex]
