Question
upstudy study bank question image url

d) \( x^{2}+17 x-60=0 \)

Ask by Huang Gibson. in Mexico
Mar 12,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Las soluciones son \(x=-20\) o \(x=3\).

Solution

Solve the equation \( x^{2}+17x-60=0 \). Solve the quadratic equation by following steps: - step0: Solve by factoring: \(x^{2}+17x-60=0\) - step1: Factor the expression: \(\left(x-3\right)\left(x+20\right)=0\) - step2: Separate into possible cases: \(\begin{align}&x-3=0\\&x+20=0\end{align}\) - step3: Solve the equation: \(\begin{align}&x=3\\&x=-20\end{align}\) - step4: Rewrite: \(x_{1}=-20,x_{2}=3\) La solución de la ecuación \(x^{2}+17x-60=0\) es \(x=-20\) o \(x=3\).

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Mind Expander

Let's take a journey back to the world of quadratic equations! The equation \( x^{2} + 17x - 60 = 0 \) can be solved using the famous quadratic formula \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \). Here, \( a = 1 \), \( b = 17 \), and \( c = -60 \). Plugging in these values will reveal the roots of this equation. Aren't squaring and factoring just the bee's knees of math? Now, if you're ever stuck solving quadratics, remember to check if the equation can be factored before diving into the quadratic formula. Try to rewrite it in the form \( (x + p)(x + q) = 0 \) where \( p \) and \( q \) satisfy \( p + q = 17\) and \( p \cdot q = -60 \). Sometimes the simplest solution can be the most satisfying!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy