Question

Which of the following is a root of the equation 2x^2-5x-3=0

1 point

x=4

x=1

x=-3

x=3

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Answer 1

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To Find :- The roots of the given equation!

2x²– 5x + 3 = 0

Using middle term splitting method !

2x²– 3x - 2x + 3 = 0

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

( 2x - 3 ) = 0 , ( x - 1 ) = 0

x = 3/2   ,  x = 1

Hence, 3/2 and 1 are the roots of the equation.

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hope it will be helpful to you

Answer 2

Answer:

option  b x=1

Step-by-step explanation:

Solution:

(i) √3x2 – 2x + 3/5 = 0

Yes, the given equation is a quadratic equation since it has power of 2.

(ii) (2x + 1) (3x – 2) = 6(x + 1) (x – 2)

Let us solve the given expression,

6x2 – 4x + 3x – 2 = 6(x2 – 2x + x – 2)

6x2 – x – 2 = 6x2 – 12x + 6x – 12

12x – 6x – x = -12 + 2

5x = -10

∴ The given expression is not a quadratic equation.

(iii) (x – 3)3 + 5 = x3 + 7x2 – 1

Let us solve the given expression,

x3 – 3x2 (3) + 3x (9) – 27 + 5 = x3 + 7x2 – 1

-9x2 + 27x – 22 – 7x2 + 1 = 0

-16x2 + 27x – 21 = 0

16x2 – 27x + 21 = 0

∴ The given expression is a quadratic equation.

(iv) x – 3/x = 2, x ≠ 0

Let us solve the given expression,

x2 – 3 = 2x

x2 – 2x – 3 = 0

∴ The given expression is a quadratic equation.

(v) x + 2/x = x2, x ≠ 0

Let us solve the given expression,

By taking LCM we,

x2 + 2 = x3

x3 – x2 – 2 = 0

∴ The given expression is a quadratic equation.

(vi) x2 + 1/x2 = 3, x ≠ 0

Let us solve the given expression,

By taking LCM we,

x4 + 1 = 3x2

x4 – 3x2 + 1 = 0

∴ The given expression is not a quadratic equation.

hope it helps

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