Question

Which shows the correct substitution of the values a, b, and c from the equation 0 = 4x2 + 2x – 1 into the quadraticformula below?Quadratic formula: x = -bt/b2 - 4 ac2aOX=-222 - 4(4)( - 1)2(4)0x =-2 V22 - 4(4)(1)2(4)OX=-2 V22 + 4(4)(-1)2(4)x =-2-22-4(4)(-1)2(4)

Answer 1

The equation

`4x^2\text{ + 2x -1 = 0}`

comparing it with the standard quadratic equation

`ax^2\text{ + bx + c = 0}`

a=4 b=2 and c=-1

The quadratic formula is given by

`X=\text{ -b }\pm\frac{\sqrt{b^2\text{ +4ac}}}{2a}\text{ }`

substituting a=4 b=2 and c= -1 into the quadratic formula

`\text{ X = -2 }\pm(√(2^2+4(4)(-1)))/(2(4))`