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प्रश्न
Solve the quadratic equation 2x2 + 5x + 2 = 0 using formula method.
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उत्तर
2x2 + 5x + 2 = 0
Comparing the given equation with ax2 + bx + c = 0
a = 2, b = 5, c = 2.
b2 − 4ac = 52 − 4 (2)(2)
= 25 - 16
= 9
By Formula Method,
x = `(-b +- sqrt(b^2 - 4ac))/(2a)`
x = `(-5 +- sqrt(9))/(2(2))`
= `(-5+-3)/4`
= `(-5+3)/4` or x = `(-5-3)/4`
x = `(-2)/4` or x = `(-8)/4`
∴ x = `(-1)/2`
x = −2
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संबंधित प्रश्न
Complete the following activity to solve the given quadratic equation by formula method.
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Activity: 2x2 + 13x + 15 = 0
a = (______), b = 13, c = 15
b2 – 4ac = (13)2 – 4 × 2 × (______)
= 169 – 120
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x = `(- ("______") +- sqrt(49))/4`
x = `(-13 +- ("______"))/4`
x = `(-6)/4` or x = `(-20)/4`
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