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2 years ago

Solve: 7|x| = 42 36 –6 or 6 no solution 6

Mathematics

2 answers:

stepan [7]2 years ago

7 0

Answer:

Step-by-step explanation:

7×6=42 so 6 is x so this is your answer

Leto [7]2 years ago

3 0

Answer:

-6 or 6

Step-by-step explanation:

7x|x|=42 (divide both sides)

|x|=6 (separate into possible cases)

x=6

x=-6 (the equation has two solutions)

hope this helps!

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erik [133]

Answer-

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Solution-

The given function f(x) is,

$2x^4 -7x^3 + 4x^2 + 7x - 6 = 0$

For calculating the zeros,

$\Rightarrow f(x)=0$

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$\Rightarrow 2x^4-4x^3-3x^3+6x^2-2x^2+ 4x+3x-6=0$

$\Rightarrow 2x^3(x-2)-3x^2(x-2)-2x(x-2)+3(x-2)=0$

$\Rightarrow (x-2)(2x^3-3x^2-2x+3)=0$

$\Rightarrow (x-2)(x^2(2x-3)-1(2x-3))=0$

$\Rightarrow (x-2)(x^2-1)(2x-3)=0$

$\Rightarrow (x-2)(x+1)(x-1)(2x-3)=0$

$\Rightarrow x-2=0,\ x+1=0,\ x-1=0,\ 2x-3=0$

$\Rightarrow x=2,\ x=-1,\ x=1,\ x=\frac{3}{2}$

From all the 4 roots, it can be obtained that 2 is the greatest zero.

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