Solve: 2x² + 3x - 90 = 0
Solve: 2x² + 3x - 90 = 0
Aniket Singh , 8 Months ago
Grade
10 grade maths> Solve: 2x² + 3x - 90 = 0...
1 AnswersAskiitians Tutor Team
To solve the quadratic equation 2x² + 3x - 90 = 0, we can use the quadratic formula:
Quadratic Formula
The quadratic formula is given by:
x = (-b ± √(b² - 4ac)) / 2a
In our equation, the coefficients are:
- a = 2
- b = 3
- c = -90
Calculating the Discriminant
First, we calculate the discriminant (b² - 4ac):
Discriminant = 3² - 4(2)(-90)
Discriminant = 9 + 720 = 729
Finding the Roots
Now, we can substitute the values into the quadratic formula:
x = (-3 ± √729) / (2 * 2)
√729 = 27
So, we have:
x = (-3 ± 27) / 4
Calculating the Two Possible Values
- x₁ = (-3 + 27) / 4 = 24 / 4 = 6
- x₂ = (-3 - 27) / 4 = -30 / 4 = -7.5
Final Solutions
The solutions to the equation 2x² + 3x - 90 = 0 are:
- x = 6
- x = -7.5
Approved Last Activity: 8 Months ago
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