CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

value of x satisfying the equality $$|x^2 + 8x + 7| = |x^2 + 4x + 4| + |4x + 3|$$ for $$x \in R$$ are


A
(2,)
loader
B
(34,){2}
loader
C
[34,){2}
loader
D
(43,)
loader

Solution

The correct option is C $$(-2, \infty)$$
As we know
$$|a|+|b|=|a+b|$$
$$ab\ge0$$

$$\implies (x^2+4x+4)(4x+3)\ge0$$

$$\implies (x+2)^2(4x+3)\ge 0$$

$$\implies x\in[-\dfrac{3}{4},\infty)\cup$${$$-2$$}


Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image