Respuesta :
Hello,
Answer:
S = { -0,42 ; 2,71 }
Step-by-step explanation:
7x² - 16x = 8 ⇔ 7x² - 16x - 8 = 0
a = 7 ; b = -16 ; c = -8
Δ = b² - 4ac = (-16)² - 4 × 7 × (-8) = 480 > 0
x₁ = (-b - √Δ)/2a = (16 - √480)/14 ≈ -0,42
x₂ = (-b + √Δ)/2a = (16 + √480)/14 ≈ 2,71
Answer:
The two answers:
2.707778736
0.42206445
Step-by-step explanation:
Here is the equation:
[tex] {7x}^{2} - 16x = 8[/tex]
Take away the 8 from the right hand side, so that we are left with this quadratic equation:
[tex] {7x}^{2} - 16x - 8 = 0[/tex]
This equation is too complex to solve with the factorizing method, so let's use the quadratic formula, which is as follows:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
In this equation, a = 7, b = -16, and c = -8. So let's substitute in:
[tex]x = \frac{-( - 16) \pm \sqrt{ { - 16}^{2} - 4 \times 7 \times - 8}}{2 \times 7}[/tex]
[tex]x = \frac{ - ( - 16) \pm \sqrt{256 + 224} }{14}[/tex]
[tex]x = \frac{ 16 \pm \sqrt{480}}{14}[/tex]
And let's work out the two possible answers:.
2.707778736
0.42206445
