Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Determine the number of real solutions for the quadratic equation 2x2−3x+1=02x^2 - 3x + 1 = 0 using the discriminant.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Calculusright chevron icon
Find derivatives using the chain rule Iright chevron icon

Full solution

Q. Determine the number of real solutions for the quadratic equation 2x2−3x+1=02x^2 - 3x + 1 = 0 using the discriminant.
  1. Identify values: Identify the values of aa, bb, and cc.\newlineCompare ax2+bx+c=0ax^2 + bx + c = 0 and 2x2−3x+1=02x^2 - 3x + 1 = 0.\newlinea=2a = 2\newlineb=−3b = -3\newlinec=1c = 1
  2. Compare equations: Substitute a=2a = 2, b=−3b = -3, and c=1c = 1 into the discriminant formula D=b2−4acD = b^2 - 4ac.\newlineD=(−3)2−4⋅2⋅1D = (-3)^2 - 4 \cdot 2 \cdot 1
  3. Substitute into formula: Simplify the discriminant.\newlineD=9−8D = 9 - 8
  4. Simplify discriminant: Calculate the final value of the discriminant.\newlineD=1D = 1
  5. Calculate final value: Determine the number of real solutions based on the discriminant.\newlineSince D > 0, there are 22 real solutions.

More problems from Find derivatives using the chain rule I

Question
Find the derivative of f(x) f(x) .\newlinef(x)=cos⁡(x) f(x) = \cos(x) \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 11 months ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=tan⁡(x) f(x) = \tan(x) \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 1 year ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=ex f(x) = e^x \newlinef′(x)= f'\left(x\right) = ______
Get tutor helpright-arrow

Posted 1 year ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=ln⁡(x) f(x) = \ln(x) \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 1 year ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=tan⁡−1x f(x) = \tan^{-1}{x} \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 1 year ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=xex f(x) = x e^x \newlinef′(x)= f'\left(x\right) = ______
Get tutor helpright-arrow

Posted 1 year ago

Question
Find the derivative of f(x) f(x) . \newlinef(x)=exx f(x) = \frac{e^x}{x} \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 1 year ago

Question
Find the derivative of f(x) f(x) . \newline f(x)=e(x+1) f(x) = e^{(x + 1)} \newline f′(x)= f'\left(x\right) = ______
Get tutor helpright-arrow

Posted 11 months ago

Question
Find the derivative of f(x) f(x) . \newlinef(x)=x+3 f(x) = \sqrt{x+3} \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 1 year ago

Question
Find the derivative of g(x) g(x). \newline g(x)=ln⁡(2x) g(x) = \ln(2x) \newline g′(x)= g^{\prime}(x) = ______
Get tutor helpright-arrow

Posted 1 year ago

View all (53)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant