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Question
Solve: 7x2 – 30x – 25 = 0
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Solution
Given equation is, 7x2 – 30x – 25 = 0
The roots of a quadratic equation are given as,
x = `(-b +- sqrt(b^2 - 4ac))/(2a)`
⇒ x = `(-(-30) +- sqrt((-30)^2 - 4(7)(-25)))/(2(7))`
= `(30 +- sqrt(900 + 700))/14`
= `(30 +- sqrt(1600))/14`
= `(30 +- 40)/14`
= `(30 + 40)/14, (30 - 40)/14`
= `70/14, (-10)/14`
= `5, (-5)/7`
Hence, the roots of given quadratic equation are 5 and `(-5)/7`.
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