Question
Check the equation is quadratic equation or not: $x(2x + 3) = x^2+ 1$
✓
Answer
Taking, $L.H.S.$ $=x(2 x+3)=2 x^2+3 x$
So, $x(2 x+3)=x^2+1$ can be rewritten as
$2 x^2+3 x=x^2+1$
Therefore, we get $x^2+3 x-1=0$
It is of the form $\mathrm{ax}^2+\mathrm{bx}+\mathrm{c}=0$. Also degree is $2$ .
So, the given equation is a quadratic equation.
So, $x(2 x+3)=x^2+1$ can be rewritten as
$2 x^2+3 x=x^2+1$
Therefore, we get $x^2+3 x-1=0$
It is of the form $\mathrm{ax}^2+\mathrm{bx}+\mathrm{c}=0$. Also degree is $2$ .
So, the given equation is a 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.
Explore more
Similar questions
Evaluate the following:
Show that:
$\frac{1-\sin60^\circ}{\cos60^\circ}=\frac{\tan60^\circ-1}{\tan60^\circ+1}$
→Show that:
$\frac{1-\sin60^\circ}{\cos60^\circ}=\frac{\tan60^\circ-1}{\tan60^\circ+1}$
A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out
- an orange flavoured candy?
- a lemon flavoured candy?
Without actual division, show that the following rational numbers is a non-terminating repeating decimal:
$\frac{77}{210}$
→$\frac{77}{210}$
Give an example of two irrationals whose sum is rational.
HINT: Take $\big(2+\sqrt3\big)$ and $\big(2-\sqrt3\big).$
→HINT: Take $\big(2+\sqrt3\big)$ and $\big(2-\sqrt3\big).$
Two coins are tossed at a time then what is the probability of getting two heads?
Determine the prime factorisation of the following positive integer:
$58500$
→$58500$
State whether the following quadrilaterals are similar or not:
A player attempts to shoot a basketball. She/he shoots or misses the shot. Is this experiment has an equally likely outcome? Explain.
If $P(E) = 0.05$, what is the probability of not E?
→In a simultaneous throw of pair of dice, find the probability of getting:
A sum less than $6$.
→A sum less than $6$.