Question
Solve the following quadratic equations by factorization:
(x - 4)(x + 2) = 0
(x - 4)(x + 2) = 0
✓
Answer
We have
(x - 4)(x + 2) = 0
⇒ either (x - 4) = 0 or (x + 2) = 0
⇒ x = 4 or x = -2
Thus, x = 4 and x = -2 are two roots of the equation (x - 4)(x + 2) = 0
(x - 4)(x + 2) = 0
⇒ either (x - 4) = 0 or (x + 2) = 0
⇒ x = 4 or x = -2
Thus, x = 4 and x = -2 are two roots of the equation (x - 4)(x + 2) = 0
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
Evaluate the following:
Show that:
$\frac{\cos30^\circ+\sin60^\circ}{1+\sin30^\circ+\cos60^\circ}=\cos30^\circ$
→Show that:
$\frac{\cos30^\circ+\sin60^\circ}{1+\sin30^\circ+\cos60^\circ}=\cos30^\circ$
On comparing the ratios $\frac{a_1}{a_2}, \frac{b_1}{b_2}$ and $\frac{c_1}{c_2}$, , find out whether the lines representing the pair of linear equations intersect at a point, are parallel or coincide: 6x − 3y + 10 = 0; 2x – y + 9 = 0.
→Given that HCF (306, 657) = 9, find LCM (306, 657).
Which of the following are quadratic equations?
$\text{x}^2+\frac{1}{\text{x}^2}=5$
→$\text{x}^2+\frac{1}{\text{x}^2}=5$
Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product is less than 9.
A die is thrown twice. What is the probability that:
- 5 will not come up either time?
- 5 will come up at least once?
[Hint: Throwing a die twice and throwing two dice simultaneously are treated as the same experiment]
The following are quadratic equations in x?
$\text{x}-\frac{6}{\text{x}}=3$
→$\text{x}-\frac{6}{\text{x}}=3$
In a $\triangle\text{ABC,D}\ \text{and E}$ are points on the sides AB and AC respectively such that DE || BC.If AD = 2.5cm, BD = 3.0cm, and AE = 3.75cm, find the length of AC.
→In figure (i) and (ii), DE || BC.
Find EC in (i) and AD in (ii)
In the given figure, ABCD is a rectangle. P is mid-point of DC. If QB = 7 cm, AD = 9 cm and DC = 24 cm, then prove that $\angle APQ =90^{\circ}$.
→