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:
$x^2 - 3x + 2 = 0, x = 2, x = -1$

✓

Answer

$x^2 - 3x + 2 = 0. x = 2, x = -1$
$$Here, $L.H.S. = x^2 - 3x + 2$ and $R.H.S. = 0$
Now, substitute $x = 2$ in $L.H.S.$
We get $(2)^2 - 3(2) + 2 = 4 - 6 + 2$
$= 6 - 6$
$= 0$
R.H.S.
Since, L.H.S. = R.H.S.
x = 2 is a solution for the given equation.
Similarly,
Now substitute x = -1 in L.H.S.
We get $(-1)^2 - 3(-1) + 2$
1 + 3 + 2 = 6 $\neq$ R.H.S.
Since L.H.S $\neq$ R.H.S.
x = -1 is not a solution for thr given equatoion.

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 the point C(k, 4) divedes the join of A(2, 6) and B(5, 1) in the ratio 2 : 3 then find the value of k.

Find the value of k for which each of the following system of equations have infinitely many solutions:

$(k + 2)x + (2k + 1)y = 2(k - 1)$

Find the non-zero value of k for which the roots of the quadratic equation $9x^2 - 3kx + k = 0$ are real and equal.

Places $A$ and $B$ are $100 \ km$ apart on a highway. One car starts from $A$ and another from $B$ at the same time. If the cars travel in the same direction at different speeds, they meet in $5$ hours. If they travel towards each other they meet in $1$ hour. What are the speeds of the two cars?

If $\cos2\theta=\sin4\theta,$ where $2\theta$ and $4\theta$ are acute angles, find the value of $\theta.$

A solid cone of base radius 10cm is cut into two parts through the mid-point of its height, by a plane parallel to its base. Find the ratio in the volumes of two parts of the cone.

An arc of a circle of radius 10 cm subtends a right angle at the centre of the circle. Find the area of the corresponding major sector. (Use $\pi=3 \cdot 14$ )

A person rowing at the rate of 5km/ h in still water, takes thrice as much time in going 40km upstream as in going 40km downstream. Find the speed of the stream.

Solve the following quadratic by factorization:$a(x^2 + 1) - x(a^2 + 1) = 0$

A building is in the form of a cylinder surmounted by a hemi-spherical vaulted dome and contains $41\Big(\frac{19}{21}\Big)\text{m}^3$ of air. If the internal diameter of dome is equal to its total height above the floor, find the height of the building?