Number of real solution of - x -3- x -1 which are not primeA- 2B- 3C- 1D- 0

The correct option is D 0|x 3|=√(x 1) nbsp; ∵ |x 3|≥0 and √(x 1)≥0 Since both the sides are always ≥ 0 So, by squaring both the sides, we get ⇒|x 3|^2=(√(x 1 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XI

Economics

Market Supply Curve

Number of rea...

Question

Number of real solution of $| x - 3 | = \sqrt{x - 1}$ which are not prime

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $0$
$| x - 3 | = \sqrt{x - 1}$
$∵ | x - 3 | \geq 0$
and
$\sqrt{x - 1} \geq 0$
Since both the sides are always $\geq 0$
So, by squaring both the sides, we get
$\Rightarrow | x - 3 |^{2} = (\sqrt{x - 1})^{2}$
$\Rightarrow x^{2} + 9 - 6 x = x - 1$
$\Rightarrow x^{2} - 7 x + 10 = 0$
$\Rightarrow (x - 5) (x - 2) = 0$
$\Rightarrow x = 2, 5$

Suggest Corrections

Similar questions

Q. The number of real solution(s) of the equation

x^{1 / 3} + \sqrt{x} = 1

Three distinct real numbers, a, b, c are in G.P. such that a + b+ c= x b, then

Q. Number of real normals to the parabola

y^{2} = 16 x,

passing through

(4, 0)

Q. The number of real solutions of

x - \frac{1}{x^{2} - 4} = 2 - \frac{1}{x^{2} - 4}

Q. The number of real solutions of the equation

x^{2} - x + 3 + {(\frac{9}{10})}^{x} = 0

Join BYJU'S Learning Program

Explore more

Market Supply Curve

Standard XI Economics

Join BYJU'S Learning Program

Number of real solution of |x−3|=√x−1 which are not prime

The correct option is D 0|x−3|=√x−1 ∵|x−3|≥0 and √x−1≥0 Since both the sides are always ≥0 So, by squaring both the sides, we get ⇒|x−3|2=(√x−1)2 ⇒x2+9−6x=x−1 ⇒x2−7x+10=0 ⇒(x−5)(x−2)=0 ⇒x=2,5

Number of real solution of $| x - 3 | = \sqrt{x - 1}$ which are not prime