Question
Show the following quadratic equation by factorization method: $\sqrt{3}\text{x}^2-\sqrt{2 }\text{x}+2\sqrt{3}=0$
✓
Answer
$\sqrt{3}\text{x}^2-\sqrt{2 }\text{x}+2\sqrt{3}=0$ We will apply discriminant rule, $\text{x}=\frac{-\text{b}\pm\sqrt{\text{D}}}{2\text{a}}\ ...(\text{A})$ Where $D = b^2 - 4ac =(-\sqrt{2})^2-4.\sqrt{3}.3\sqrt{3}$ = 2 - 36 = -34 From (A) $\text{x}=\frac{-(-2)\pm\sqrt{-34}}{2.\sqrt{3}}$ $=\frac{\sqrt{2}\pm\sqrt{34}\text{ i}}{2\sqrt{3}}$ $\therefore\text{x}=\frac{\sqrt{2}\pm\sqrt{34}\text{ i}}{2\sqrt{3}}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Sketch the graphs of the following curves on the same scale and the same axes: $\text{y}=\cos\text{x}$ and $\text{y}=\cos\Big(\text{x}-\frac{\pi}{4}\Big)$
→How many different boat parties of 8, consisting of 5 boys and 3 girls, can be made from 25 boys and 10 girls?
A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = $\{$(x, y): the difference between x and y is odd, $\text{x}\in\text{A},\text{y}\in\text{B}\}$ Write R in Roster form.
→In a school there are 20 teachers who teach mathematics or physics. Of these, 12 teach mathematics and 4 physics and mathematics. How many teach physics?
Differentiate the following functions with respect to x:$\frac{\sec\text{x}-1}{\sec\text{x}+1}$
→Differentiate the following from the first principle$\text{e}^{\sqrt{2\text{x}}}$
→Find the value of tan $\frac { \pi } { 8 }$.
→If $\text{f(x)}=\log_\text{e}(1-\text{x})$ and $\text{g(x)}=[\text{x}],$ then determine the following functions: (fg)(0)
→Evaluate the following limit: $\lim\limits_{\text{x}\rightarrow1}\frac{1-\text{x}^{\frac{-1}{3}}}{1-\text{x}^{\frac{-2}{3}}}$
→If $\sin\text{x}=\frac{3}{5},\tan\text{y}=\frac{1}{2}$ and $\frac{\pi}{2}<\text{x}<\pi<\text{y}<\frac{3\pi}{2},$ find the value of $8\tan\text{x}-\sqrt{5}\sec\text{y}.$
→