4w²=49 what is the answer
Answer (1)
The solutions are [tex]w = 3.5[/tex] or [tex]w = -3.5[/tex].Given the equation:[tex]4w^2 = 49[/tex][tex]4w^2 = 49[/tex]Step 1: Divide both sides by 4 to isolate [tex]$$ w^2 $$[/tex]: [tex]w^2 = \frac{49}{4}[/tex]Step 2: Take the square root of both sides: [tex]w = \pm \sqrt{\frac{49}{4}} = \pm \frac{7}{2}[/tex]Final answer: [tex]w = \frac{7}{2} \quad \text{or} \quad w = -\frac{7}{2}[/tex]
