Question

HELP!!
what is the answer to number 18

Answer 1

options c

Explanation:

I hope it's helpful for you to

Answer 2

c

Explanation:

The number of solutions of the equation
`5x^2+7x-4=0` is 2. Option (c) is correct.

Further explanation:

The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.

The polynomial function has n roots or zeroes.

Given:

The equation is
`f(x)=5x^2-7x-4=0`

According to the Fundamental Theorem of Algebra the function has 2 roots

Solve the above equation to obtain the zeros.

`x=(-b\pm √(b^2-4ac))/(2a)`

`x=(-7\pm √(7^2-4\cdot \:5\left(-4\right)))/(2\cdot \:5)`

`√(7^2-4\cdot \:5\left(-4\right))`

`=√(129)`

`x_1=(-7+√(129))/(2\cdot \:5),\:x_2=(-7-√(129))/(2\cdot \:5)`

so, x has 2 solutions