Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

4 x2-5x-6=0 quadratic form

Sagot :

Itz5151

Step-by-step explanation:

[tex]4 {x}^{2} -5x-6=0 [/tex]

Solve using quadratic formula

Solution:

We know that

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

ATQ,here,

  • a = 4
  • b = -5
  • c = -6

Substitute the values into the quadratic formula.

  • [Let Quadratic Formula = x]

[tex]\rm\implies x = \cfrac{5 ± \sqrt{( - 5) {}^{2} - 4 \times (4 \times - 6) } }{2 \times 4} [/tex]

[tex]\rm\implies{x} = \cfrac{5 ± \sqrt{25 - 4 \times (24) } }{2 \times 4} [/tex]

[tex] \implies \rm \: x = \cfrac{5 ± \sqrt{25 - 96} }{8} [/tex]

[tex] \implies \rm \: x = \cfrac{5± \sqrt{121} }{8} [/tex]

[tex] \implies \rm \: x = \cfrac{5± \sqrt{11 \times 11} }{8} [/tex]

[tex] \implies \rm \: \: x = \cfrac{5±11}{8} [/tex]

  • The answer will be the combination of both solutions

[tex]\boxed{x = 2}[/tex]

OR

[tex]x = \boxed{- \cfrac{3}{4}} [/tex]

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.