angeljaimon2
Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Factor the polynomials completely, then solve 48x² - 75 = 0​

Sagot :

Answer:

[tex]x=\frac{5}{4} \text { or } x=-\frac{5}{4}[/tex]

Step-by-step explanation:

48 = 3 × 16

75 = 3 × 25

_________

Then, a Complete factorization of 48x² - 75 is :

[tex]\begin{aligned}48 x^{2}-75 &=3 \times\left(16 x^{2}\right)-3 \times(25) \\&=3 \times\left(16 x^{2}-25\right)\end{aligned}[/tex]

_____________________

Now let’s solve our equation 48x² - 75 = 0

48x² - 75 = 0 means 3 × (16x² − 25) = 0 means 16x² − 25 = 0

[tex]\begin{array}{l}16 x^{2}-25=0 \\\\\Leftrightarrow 16 x^{2}=25 \\\\\Leftrightarrow x^{2}=\frac{25}{16} \\\\\Leftrightarrow x=\sqrt{\frac{25}{16}} \text { or } x=-\sqrt{\frac{25}{16}} \\\\\Leftrightarrow x=\frac{5}{4} \text { or } x=-\frac{5}{4}\end{array}[/tex]

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.