The given can be solved by simplifying the equation to make x the subject
of the equation.
- The solution of the equation is x = -2,500
Reasons:
The equation is; √(-4·x) = 100
The above equation can be expressed as follows;
- [tex]\displaystyle \sqrt{-4 \cdot x} = \left(-4 \cdot x \right)^{\frac{1}{2} } = \mathbf{100}[/tex]
By squaring both sides, we get;
[tex]\displaystyle \mathbf{ \left(-4 \cdot x \right)^{\frac{1}{2} \times 2 }} = 100^2[/tex]
Which gives;
[tex]\displaystyle \left(-4 \cdot x \right)^{\frac{1}{2} \times 2 } = \left(-4 \cdot x \right)^{1 }= -4 \cdot x = 100^2[/tex]
[tex]\displaystyle -4 \cdot x = 100^2 = 100 \times 100 = \mathbf{10,000}[/tex]
[tex]\displaystyle -4 \cdot x = 10,000[/tex]
Dividing both sides by -4 gives;
[tex]\displaystyle x = \mathbf{ \frac{10,000}{-4} } = -2,500[/tex]
Therefore'
x = -2,500
- The solution of the equation √(-4·x) = 100 is; x = -2,500
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