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what is the sum and product and roots of 2x2-3x=0​

Sagot :

Answer:

2x²-3x=0

= x(2x-3)=0

= x=0

2x-3=0

= x1= 0

x2=3/2

x1 = x sub 1

x2 = x sub 2

Answer:

The roots are 0 and 1.5

Sum of the roots = 1.5

Product of the roots = 0

Step-by-step explanation:

Find the roots

[tex]2 {x}^{2} - 3x = 0 \\ x(2x - 3) = 0[/tex]

Equate

[tex]x = 0 \: \: \: | \: \: \: 2x - 3 = 0[/tex]

Solve for x(1)

[tex]x = 0[/tex]

Solve for x (2)

[tex]2x - 3 = 0 \\ 2x = 3 \\ \frac{2x}{2} = \frac{3}{2} \\ x = \frac{3}{2} \: or \: 1.5[/tex]

Solve for the SUM of the roots

[tex]0 + 1.5 = 1.5[/tex]

Solve for the PRODUCT of the roots

[tex]0 \times 1.5 = 0[/tex]

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