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**1. Homework Statement**

Need to solve

2x² + 5x + 3 = 0

**2. Homework Equations**

at² + bt + c = 0

so a = 2, b = 5, c = 3

**3. The Attempt at a Solution**

a x c = 6

a + c = 5

so ned to find somthing that times to make 6 and add to make 5. That is 2, 3

2x² + 2x + 3x + 3

2x (x + 1) + 3(x + 1)

(2x + 3)(x + 1) = 0

so x is either

x = 3/2 =

**-1.5**or x =

**-1**

Are those answers correct?

If so how would I go about solving this question

A solution to the equation [tex]x^{5} - 4x^{3} = 455[/tex] lies between x = 3.6 and x = 3.8. Find the solution to 2 decimal places.

So should change it = 0 by -455 so i get

[tex]x^{5} - 4x^{3} -455 = 0[/tex]

now where do i go?

Thx