Answer:
Step-by-step explanation:
<h3>Solving quadratic equation using formula:</h3>
5x² - 6x - 2 = 0
a = Coefficient of x² = 5
b = coefficient of x = -6
c = constant = -2
Discriminant = D = b² - 4ac
= (-6)² - 4 * 5 * (-2)
= 36 + 40
= 76 > 0
So, the quadratic equation has two distinct real roots.
![\sf \boxed{\bf x = \dfrac{-b \± \sqrt{D}}{2a}}\\\\](https://tex.z-dn.net/?f=%5Csf%20%5Cboxed%7B%5Cbf%20x%20%3D%20%5Cdfrac%7B-b%20%5C%C2%B1%20%5Csqrt%7BD%7D%7D%7B2a%7D%7D%5C%5C%5C%5C)
![\sf = \dfrac{-[-6] \± \sqrt{76}}{2*5}\\\\= \dfrac{6 \±8.7}{10}\\\\=\dfrac{6+8.7}{10} \ ; \ or \ x =\dfrac{6-8.7}{10}\\\\=\dfrac{14.7}{10} \ ; \ or \ x = \dfrac{-2.7}{10}](https://tex.z-dn.net/?f=%5Csf%20%3D%20%5Cdfrac%7B-%5B-6%5D%20%5C%C2%B1%20%5Csqrt%7B76%7D%7D%7B2%2A5%7D%5C%5C%5C%5C%3D%20%5Cdfrac%7B6%20%5C%C2%B18.7%7D%7B10%7D%5C%5C%5C%5C%3D%5Cdfrac%7B6%2B8.7%7D%7B10%7D%20%20%5C%20%3B%20%5C%20or%20%5C%20x%20%3D%5Cdfrac%7B6-8.7%7D%7B10%7D%5C%5C%5C%5C%3D%5Cdfrac%7B14.7%7D%7B10%7D%20%5C%20%3B%20%5C%20or%20%5C%20x%20%3D%20%5Cdfrac%7B-2.7%7D%7B10%7D)
x = 1.47 or x = -0.27
Answer: x = 1.5 or (-0.3)
b) x² + 3x = 40
x² + 3x - 40= 0
We can solve the quadratic equation using factor method.
Sum = 3
Product = -40
Factors = 8 , (-5)
When we add, 8 + (-5) = 3 , we get 5and when we multiply 8 *(-5) = -40, we get -(-40).
Rewrite the middle term of the quadratic equation using the factors.
x² + 8x - 5x - 40 = 0
x(x + 8) - 5(x + 8)= 0
(x + 8) (x - 5) = 0
x + 8 = 0 or x - 5 = 0
x = -8 or x = 5
Answer : x = -8 , 5
Answer:
Can't answer this without knowing the height of the rectangle ...
Step-by-step explanation:
Rectangle prisms have 6 flat surfaces.
Answer:
x=0
Step-by-step explanation:
10(x-2)=-20
10x-20=-20 Distribution
10x=0 add 20 to both sides
x=0 divide by 10 on both sides