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In Matematika / Sekolah Menengah Atas | 2025-07-03

Jika akar‐akar persamaan kuadrat x2 + bx + 30  0 adalah separuhnya dari akar‐akar persamaan kuadrat 2x2- 16 x + a = 0. Nilai a+b =...

Asked by kikicebret6609

Answer (4)

the father of our country is George Washington which was the first president

Answered by bbb911 | 2024-06-10

George Washington, the first president and also an amazing general

Answered by MathG33k | 2024-06-10

The "Father of Our Country" is George Washington, the first President of the United States who played crucial roles in his leadership during the American Revolutionary War, the Constitutional Convention, and as president. His legacy includes setting important precedents for the presidency and emphasizing national unity. Washington's character and dedication to the country earned him this esteemed title.
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Answered by bbb911 | 2024-10-24

Jawaban:236Penjelasan dengan langkah-langkah:Akar akar x² + bx + 30 = 0[tex] \tt = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex][tex] \tt = \frac{ - b \pm \sqrt{ {b}^{2} - 4(1)(30)} }{2(1)} [/tex][tex] \tt \frac{ - b \pm \sqrt{ {b}^{2} - 120 } }{2} [/tex]Akar-akar 2x² - 16x + a = 0[tex] \tt = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} [/tex][tex] \tt = \frac{ - ( - 16) \pm \sqrt{ {( - 16)}^{2} - 4(2)(a) } }{2(2)} [/tex][tex] \tt = \frac{16 \pm \sqrt{256 - 8a} }{4} [/tex][tex] \tt = \frac{8 \pm \sqrt{64 - 2a} }{2} [/tex]Persamaan[tex] \tt2( \frac{ - b \pm \sqrt{ {b}^{2} - 120 } }{2} ) = \frac{8 \pm \sqrt{64 - 2a} }{2} [/tex][tex] \tt - b \pm \sqrt{ {b}^{2} - 120} = \frac{8 \pm \sqrt{64 - 2a} }{2} [/tex]2(-b± √(b² - 120)) = 8±√(64 - 2a)-2b± 2√(b² - 120) = 8±√(64 - 2a)-2b ± √(4b² - 480) = 8 ± √(64 - 2a)Nilai b-2b = 8b = 8/-2b = -4Nilai a-2a = -480a = -480/-2a = 240Nilai a + b= a + b= 240 + (-4)= 240 - 4= 236[tex]\boxed{ \red{ \boxed{\pink{\mathcal{M \frak{ ilana} \purple{ \tt01}}}}}} [/tex]

Answered by Milana01 | 2025-07-05