Question
Factorise:$\text{x}^2-3\sqrt{5}\text{x}-20$
✓
Answer
$\text{x}^2-3\sqrt{5}\text{x}-20$$=\text{x}^2-4\sqrt{5}\text{x}+\sqrt{5}\text{x}-20$
$=\text{x}(\text{x}-4\sqrt{5})+\sqrt{5}(\text{x}-4\sqrt{5})$
$=\text{x}(\text{x}-4\sqrt{5})(\text{x}+\sqrt{5})$
$=\text{x}(\text{x}-4\sqrt{5})+\sqrt{5}(\text{x}-4\sqrt{5})$
$=\text{x}(\text{x}-4\sqrt{5})(\text{x}+\sqrt{5})$
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
Write the value of $\big(2+\sqrt3)(2-\sqrt3\big).$
→Find five different solution of the following equations:
2x - 3y = 6
2x - 3y = 6
Find the factors of the polynomials given below : $\frac{1}{2} x^2-3 x+4$
→Factorise:$21\text{x}^2-2\text{x}+\frac{1}{21}$
→Find the volume of the right circular cone with the following dimensions:
Radius 6cm, height 7cm.
Radius 6cm, height 7cm.
The volume of a right circular cone is $9856 cm^3$. If the diameter of the base is 28 cm ,Find:
Slant height of the cone.
→Slant height of the cone.
Evaluate the following using identities:$\big(\text{a}^2\text{b}-\text{b}^2\text{a}\big)^2$
→Find the surface areas and volumes of spheres of the following radii : $9 cm$
→Construct the angles of the following measurements:
15°
15°
In the given figure, AB || CD and $\text{EF}\perp\text{AB}.$ If EG is the transversal such that $\angle\text{GED}=130^\circ,$ find $\angle\text{EGF}.$
→