In the following, determine whether the given values are solution… - Vidyadip

Question

In the following, determine whether the given values are solution of the given equation or not:
$x^2 + x + 1 = 0, x = 0, x = 1$

✓

Answer

We have been given that,
$x^2 + x + 1 = 0, x = 0, x = 1$
Now, if x = 0 is a solution of the equation then it should satisfy the equation.
So, substituting x = 0 in the equation we get
$x^2 + x + 1$
$= (0)^2 + (0) + 1$
$= 1$
Hence x = 0 is not a solution of the given quadratic equation.
Also, if x = 1 is a solution of the equation it should satisfy the equation So, substituting x = 1 in the equation, we get
$x^2 + x + 1$
$= (1)^2 + (1) + 1$
$= 3$
Hence x = 1 is not a soluion of the quadratic equation.
Therefore, from the above results we find out that both x = 0 and x = 1 are not a solution of the given quadratic equation.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Quadratic Equations→Quadratic Equations — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

If $\alpha$ and $\beta$ are the zeroes of the quadratic polynomial $f(x) = x^2 - x - 4$, find the value of $\frac{1}{\alpha}+\frac{1}{\beta}-\alpha\beta$

At $t$ minutes past $2\ pm$ the time needed by the minutes hand of a clock to show $3\ pm$ was found to be $3$ minutes less than $\frac{t^2}{4}$ minutes. Find $t .$

If the points P, Q(x, 7), R, S(6, y) in this order divide the line segment joining A(2, p) and B(7, 10) in 5 equal parts, find x, y and p.

A quadratic equation with integral coefficient has integral roots. Justify your answer.

Very-Short and Short-Answer Questions:Write the number of solutions of the following pair of linear equations:
$x + 2y - 8 = 0,$
$2x + 4y = 16$

In a $\triangle\text{ABC,D}\ \text{and E}$ are points on the sides AB and AC respectively such that DE || BC.
If $\frac{\text{AD}}{\text{DB}}=\frac{3}{4}$ and AC = 15cm, find AE.

The areas of two similar triangles are $25 cm^2$ and $36 cm^2$ respectively. If the altitude of the first triangle is $2.4 \ cm$ , find the corresponding altitude of the other.

Marbles of diameter 1.4cm are dropped into a cylindrical beaker of diameter 7cm containing some water. Find the number of marbles that should be dropped into the beaker so that the water level rises by 5.6cm.

Draw an ogive by less than method for the following data:

No. of rooms	1	2	3	4	5	6	7	8	9	10
No. of houses	4	9	22	28	24	12	78	6	5	2

The foot of a ladder is 6m away from a wall and its top reaches a window 8m above the ground. If the ladder is shifted in such a way that its foot is 8m away from the wall, to what height does its tip reach?