Mathematics: Item 8 solve for x. use the quadratic formula. 2x2−5x−9=0 enter the solutions, in simplified radical form, in the boxes.

The answer is C 40x9=360 444-360 = 8484 /12= 7 The answer is C...

Item 8 solve for x. use the quadratic formula. - id8223200857, DroctorWellsfan

Ответ:

Ahhskii

06.01.2022

Mathematics

$\large\boxed{x=\dfrac{5-\sqrt{97}}{4}\ or\ x=\dfrac{5+\sqrt{97}}{4}}$

Step-by-step explanation:

$\text{Let}\ ax^2+bx+c=0\\\\\text{The quadratic formula:}\\\\\Delta=b^2-4ac\\\\\text{If}\ \Delta0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt\Delta}{2a}\\\\\text{If}\ \Delta=0,\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}\\\\\text{If}\ \Delta$

$\text{The equation}\ 2x^2-5x-9=0\\\\a=2,\ b=-5,\ c=-9\\\\\Delta=(-5)^2-4(2)(-9)=25+72=970\\\\\sqrt\Delta=\sqrt{97}\\\\x_1=\dfrac{-(-5)-\sqrt{97}}{2(2)}=\dfrac{5-\sqrt{97}}{4}\\\\x_2=\dfrac{-(-5)+\sqrt{97}}{2(2)}=\dfrac{5+\sqrt{97}}{4}$

0,0(0 оценок)

Item 8 solve for x. use the quadratic formula. 2x2−5x−9=0 enter the solutions, in simplified radical form, in the boxes.

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question