The number of solutions of -3 x2-x-5-x-3 isA- 0B- 1C- 2D- 4

The correct option is C 2Given equation nbsp;3x^2+x+5=(x 3)^2 ⇒ 3x^2+x+5=x^2 6x+9 ⇒ 2x^2+7x 4=0 ⇒ (x+4)(2x 1)=0 ⇒ x= 4, 12 Therefore, the total number of sol ...

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Standard XII

Mathematics

Range of Quadratic Expression

The number of...

Question

The number of solutions of $\sqrt{3 x^{2} + x + 5} = x - 3$ is

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Solution

The correct option is C $2$
Given equation $3 x^{2} + x + 5 = (x - 3)^{2} \Rightarrow 3 x^{2} + x + 5 = x^{2} - 6 x + 9$
$\Rightarrow 2 x^{2} + 7 x - 4 = 0$
$\Rightarrow (x + 4) (2 x - 1) = 0$
$\Rightarrow x = - 4, \frac{1}{2}$
Therefore, the total number of solution is $2$

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The number of solutions of √3x2+x+5=x−3 is

The correct option is C 2Given equation 3x2+x+5=(x−3)2⇒3x2+x+5=x2−6x+9 ⇒2x2+7x−4=0 ⇒(x+4)(2x−1)=0 ⇒x=−4, 12 Therefore, the total number of solution is 2

The number of solutions of $\sqrt{3 x^{2} + x + 5} = x - 3$ is

The correct option is C $2$
Given equation $3 x^{2} + x + 5 = (x - 3)^{2} \Rightarrow 3 x^{2} + x + 5 = x^{2} - 6 x + 9$
$\Rightarrow 2 x^{2} + 7 x - 4 = 0$
$\Rightarrow (x + 4) (2 x - 1) = 0$
$\Rightarrow x = - 4, \frac{1}{2}$
Therefore, the total number of solution is $2$