The equation x2−16=9 has two solutions.Change the equation so that it has no solutions.In other words make it so that x2= a negative number
Question
The equation x2−16=9 has two solutions.Change the equation so that it has no solutions.In other words make it so that x2= a negative number
Solution
To change the equation x^2 - 16 = 9 so that it has no solutions, we need to make the right side of the equation a negative number.
The equation x^2 - 16 = 9 can be rewritten as x^2 = 25 (by adding 16 to both sides).
To make the right side negative, we can subtract a number greater than 25 from both sides. For example, if we subtract 26 from both sides, we get:
x^2 - 26 = -1
This equation has no real solutions because the square of a real number is always non-negative, and cannot equal -1.
Similar Questions
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Factorise the expression x 2 −6x+9.
x2−6x−20=7𝑥2−6𝑥−20=7 Type the answer in the box below.x=𝑥= or x=𝑥= Show your reasoning.
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