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Sagot :
The solution to the equations are:
- 9x² - 36x + 36 = 0 has two equal real solutions
- x² - x + 4 = 0 has no real solutions
- The factored expression of 4x² + 23 – 35 is 4(x² -3)
Part A: Describe the solution
The equation is given as:
[tex]9x\² - 36x + 36 = 0[/tex]
The above equation is a quadratic equation which can be represented as:
[tex]ax\² + bx + c = 0[/tex]
The discriminant (d) is calculated as:
[tex]d = b\² - 4ac[/tex]
So, we have:
[tex]d = (-36)\² - 4 * 9 * 36[/tex]
[tex]d = 0[/tex]
A discriminant of 0 means that the equation has two equal real solutions
Hence, 9x² - 36x + 36 = 0 has two equal real solutions
Part B: Describe the solution
The equation is given as:
[tex]x\² - x + 4 = 0[/tex]
The above equation can be represented as:
[tex]ax\² + bx + c = 0[/tex]
The discriminant (d) is calculated as:
[tex]d = b\² - 4ac[/tex]
So, we have:
[tex]d = (-1)\² - 4 * 1 * 4[/tex]
[tex]d = -15[/tex]
A discriminant of -15 means that the equation has no real solutions
Hence, x² - x + 4 = 0 has no real solutions
Part C: The solution to the expression
We have:
[tex]4x\² + 23 - 35[/tex]
Evaluate the difference
[tex]4x\² -12[/tex]
Factor out 4
[tex]4(x\² -3)[/tex]
Hence, the factored expression of 4x² + 23 – 35 is 4(x² -3)
Read more about quadratic expressions at:
brainly.com/question/10449635
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