Question

4 x2-5x-6=0 quadratic form

Answer 1

Explanation:

`4 {x}^(2) -5x-6=0`

Solve using quadratic formula

Solution:

We know that

`\rm \: Quadratic \: Formula = \cfrac{ - b± \sqrt{ {b}^(2) - 4(ac) } }{2a}`

ATQ,here,

• a = 4
• b = -5
• c = -6

Substitute the values into the quadratic formula.

• [Let Quadratic Formula = x]

`\rm\implies x = \cfrac{5 ± \sqrt{( - 5) {}^(2) - 4 * (4 * - 6) } }{2 * 4}`

`\rm\implies{x} = \cfrac{5 ± √(25 - 4 * (24) ) }{2 * 4}`

`\implies \rm \: x = \cfrac{5 ± √(25 - 96) }{8}`

`\implies \rm \: x = \cfrac{5± √(121) }{8}`

`\implies \rm \: x = \cfrac{5± √(11 * 11) }{8}`

`\implies \rm \: \: x = \cfrac{5±11}{8}`

• The answer will be the combination of both solutions

`\boxed{x = 2}`

OR

`x = \boxed{- \cfrac{3}{4}}`