Question

Solve using quadratic formula
4x²-6x-1=0​

Answer 1

$\large{\underline{\underline{Given\: equation}}}$

• $\bf{4x^2 - 6x - 1 = 0}$

$\large{\underline{\underline{Solution}}}$

※ Values

⟹ a = 4

⠀⠀⠀⟹ b = -6

⠀⠀⠀⠀⠀⠀⠀⟹ c = -1

★ Using quadratic formula

$\boxed{\underline{\dfrac{-b ± \sqrt{b^2 - 4ac}}{2a}}}$

※ Putting the values in the formula...

↪ $\sf{\dfrac{-(-6) ± \sqrt{(-6)^2 - 4(4)(-1)}}{2 × 4}}$

⠀

↪ $\sf{\dfrac{6 ± \sqrt{36 + 16}}{8}}$

⠀

↪ $\sf{\dfrac{6 ± \sqrt{52}}{8}}$

⠀

↪ $\sf{\dfrac{6 ± \sqrt{2^2 × 13}}{8}}$

⠀

↪ $\sf{\dfrac{6 ± 2\sqrt{13}}{8}}$

⠀

↪ $\sf{\dfrac{3 ± \sqrt{13}}{4}}$

—————————————————

Therefore,

⠀⠀⠀⠀⠀⠀ $\sf{x = \dfrac{3 ± \sqrt{13}}{4}}$