Quadratic equations can be solved using any of the following ways
- Factorization
- Matrices
- Completing the square
- Graphs
- Quadratic formula
Question (1):
The equation is given as:
[tex]5x^2 + 9x = 4[/tex]
Rewrite the above equation as
[tex]5x^2 + 9x - 4 = 0[/tex]
A quadratic equation is represented as:
[tex]ax\² + bx + c = 0[/tex]
By comparison:
[tex]a = 5[/tex], [tex]b = 9[/tex] and [tex]c = -4[/tex].
Hence, the values of a, b and c are (b) [tex]a = 5[/tex], [tex]b = 9[/tex] and [tex]c = -4[/tex].
Question (2):
The equation is given as:
[tex]-5 + 2x\² = -6x[/tex]
Rewrite the above equation as
[tex]2x\² + 6x - 5 = 0[/tex]
A quadratic equation is represented as:
[tex]ax\² + bx + c = 0[/tex]
Where:
[tex]x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]
So, the expression is:
[tex]x = \frac{-6 \pm \sqrt{6^2 -4(2)(-5)}}{2(2)}[/tex]
Question (3):
The equation is given as:
[tex]8x^2 - 13x + 3 = 0[/tex]
The above equation cannot be factorized.
So, the best method is to use the quadratic formula
Read more about quadratic equations at:
https://brainly.com/question/1214333